Probably not, but it's fun to imagine. Here's why.
The end I speak of is Prime Minister Binyamin "Bibi" Netanyahu's government, which was sworn in only a week ago. Much has already been said about the largest of the junior partners in Bibi's coalition, Yisrael Beiteinu, and its incendiary chair Avigdor Lieberman, who was given the foreign ministry by Netanyahu. Lieberman is notoriously racist against Arabs. In Egypt — home to one-quarter of the world's Arabs and one of only two Arab nations with which Israel has a genuine peace treaty and full diplomatic recognition — the foreign minister has said he will not visit Israel while Lieberman is in the government, nor will he shake his hand were they to meet on neutral territory. (Lieberman has no intentions of visiting Egypt, but he has threatened in the past that, in the case of Egypt violating its peace treaty with Israel, it would be a good idea to bomb the Aswan High Dam. (I link to Wikipedia here to demonstrate just how destructive this would be — read the second paragraph.) This may inform the likely move, if it hasn't been made already, to ban Lieberman from entering Egypt.)
Bibi didn't care about the flap over Lieberman. He didn't care when the coalition deal was leaked to the press and he probably still doesn't care. Instead, Bibi and Lieberman went after Iran, threatening to engage Iran militarily if the U.S. doesn't stop Iran's nuclear program. Never mind that some intelligence estimates have put Iran as much as a decade away from acquiring nuclear weapons and that the imams that actually run the country — and not that silly grinning asshole you see in the media — have said that a first strike with nuclear weapons would be a clear violation of Muslim Shariya law, but also that a retaliatory nuclear strike against Israel would be too dangerous for its risk of incurring innocent Muslim casualties (after all, over 15% of Israel's citizens and virtually all of the Arabs in the Palestinian Territories are Muslim and, thus, part of the Ummah that Iran would like to lead).
But now real cracks are beginning to show. First of all, there are the likely criminal charges that will be filed against Lieberman, perhaps as early as May. (And this wouldn't be the first time Lieberman would be criminally charged — nor convicted — on a criminal charge.) Lieberman was questioned by police repeatedly last week and Haaretz reports that he will likely be questioned once more before the Passover holiday begins Wednesday evening. The charges would encompass, among other violations, money laundering. Israel is the currently one of the money laundering capitals of the world, and justice ministers and other legal officials in Israel have repeatedly been asking governments to crack down on this. With an alleged money launderer as foreign minister, this would be a great opportunity for Bibi can Lieberman.
The problem here is who would replace him. The No. 2 on the Yisrael Beiteinu list for the February election was Uzi Landau, the current minister of national infrastructure. A longstanding figure in the "national camp" in Israel, Landau's move from the Likud to Yisrael Beiteinu was likely a result of his failure to obtain a seat in the Knesset in the 2006 elections, where the Likud made a particularly poor showing. Would he be given the foreign ministry if Lieberman were shown the door? He doesn't have any foreign affairs credentials, so he would seem a poor choice. But, of course, neither did Lieberman. Rather, Lieberman had 15 mandates to throw behind the candidate willing to give him a large portfolio (here, either finance or foreign affairs). If Landau inherits the helm of Yisrael Beiteinu, he could conceivably have the same "right" to retain the foreign ministry for his party, and Landau is really the only person on the Yisrael Beiteinu list that could legitimately ask for it. If Bibi gives the portfolio to another party of keeps it for the Likud, he could lose his government overnight.
The other problem is that suspicion of criminal activity doesn't mean the end of an Israel politician's career. The previous prime minister, Ehud Olmert, was under nearly constant legal scrutiny on corruption and bribery charges during his tenure. And while Olmert was ultimately charged in November 2008, it was as a caretake Prime Minister and not as a head of government with any real power. And even when a government commission finds you indirectly responsible for the killings of innocent people in refugee camps in Lebanon (think Ariel Sharon on this one), you can still have a political career after a generation is the wilderness. So even if charges come down against Lieberman, until convicted, he will remain the foreign minister.
Add on top of all this that now Labor head, Deputy Prime Minister (by virtue of being another junior coalition partner), and Defense Minister Ehud Barak is already distancing himself from Lieberman's rhetoric, claiming he's "uncomfortable" in this government. Would that he were as uncomfortable before selling his soul and his party out to join it in the first place. While Labor does not have enough mandates to bring down the government, it does have enough to shorten Bibi's term considerably, unless Bibi can reshuffle his cabinet and hold onto Barak.
So here's my advice for Bibi. Cut Lieberman loose now. Let him take his ball and go home, if he so chooses, but tell his other party members, particularly those six other MKs that currently have cabinet positions, that they are welcome to stay on in the government, either as members of Yisrael Beiteinu or as a breakaway faction. Bibi doesn't appear to have any real choice in offering Landau the foreign affairs portfolio, so he should do this if he wants to keep his government. While a true hawk, Landau can at least keep his mouth shut at appropriate times. This will make Barak more "comfortable" and keep him and Labor in the government. It will also defuse the problems within the Labor Party that arose over joining a government with Lieberman as a minister.
There are, of course, other outcomes to consider:
Bibi need only retain two Yisrael Beiteinu MKs in his government to keep it from falling. If he can do this, then he has a slim (61-seat) majority but he still is Prime Minister. If he loses Yisrael Beiteinu entirely, he's down to 59 seats and no majority. So what to do? He can bring National Union and their 4 mandates in to give himself some breathing room. Or he can go back to Kadima and offer Tzipi Livni the foreign ministry and form the centrist government he began talking about so long ago. Kadima in the government in the absence of any Yisrael Beiteinu MKs gives Bibi a comparatively huge government — 87 seats or nearly three-quarters of the legislature. Sure, the national-religious and even purely religious parties (particularly Shas) will object, and Bibi's government could go down as low as 73 seats (Likud, Kadima, Labor, and United Torah Judaism), but that's comfortable enough for the time being.
The real question that would remain would be this: If asked, would Livni lead Kadima into the government? Despite her claims that other issues kept her out, it was Bibi's refusal to rotate the prime ministry that ultimately informed her decision. Would it be wise for Livni to force elections again? Or would Bibi cave in on rotation and form a true unity government?
Yes, at this point, it's still a long shot, but a perfect storm may be brewing.