Israel doesn't usually let non-Jews immigrate to Israel. You either have to be married to or descended from a Jewish person.
A quick glance at Israeli law and a simple phone call to the Israeli embassy of New York seems to confirm my findings. More below the fold.
I searched the Israeli Ministry for Foreign Affairs website and Israeli Embassy in New York, and even read their immigration forms, which make it clear that a non-Jewish person may not ordinarily immigrate (aliyah) to Israel. Israel's Law of Return (as amended in 1970) is clear on this matter. Section 4A says the right to immigration of an "Oleh" (Immigrant to Israel) may only be conferred upon
"A Jew... a child and grandchild of a Jew, the spouse of a Jew, the spouse of a child of a Jew and the spouse of a grandchild of a Jew, except for a person who has been a Jew and has voluntarily changed his religion." Section 4B states "'Jew' means a person who was born of a Jewish mother or has become converted to Judaism and who is not a member of another religion."
I spoke with a pro-Israel student on the matter, and he replied that anyone can be admitted to Israel by virtue of Naturalization; simply living there long enough to be granted citizenship. I was told of the legal requirements; residence in Israel for minimum of 3 years or exemption by the Minister of the Interior. I don't have the entire body of Israeli law in front of me, but that appears impossible. The Israeli embassy in NYC informed me that all travel visas to Israel expire after 3 months in the country and you need a round-trip ticket before you are allowed entry. I don't think you can get away with illegally being in such a secure country for 3 years for the naturalization law to take effect.
Following that, I called the Israeli embassy in New York. Here's how it went:
"Shalom?"
"Hi there. I was wondering if I could get a visa to Israel?"
"Are you Israeli?"
"No."
"What kind of visa do you want?"
"Uh, A student one."
"The maximum is three months."
"OK, what do I have to do if I want citizenship?"
"Are you Jewish?"
"No."
"umm, please hold."
"Shalom?"
"Hi there. I was wondering how I could get Israeli citizenship."
"Are you Jewish?"
"No."
"Well then WHY do you want to move to Israel?" (She sounded quite incredulous)
"I want to live in Jerusalem."
"Well, you would have to travel to Israel, and then go to the Ministry of Foreign Affairs, and ask them for the procedure on how to do that."
"Ok, thank you."
Why do we Americans give more money to Israel than any other country, when they keep up such discriminatory practices? Their GDP per capita is higher than Spain! How come we're not getting any good return on our money , aside from international condemnation and the scorn of Arabs and Muslims everywhere? Why can't we pressure Israel to stop their wall, when they are receiving Billions from us? Israel, a country with nuclear weapons and US and EU backing, isn't under threat of extinction, but why can't we force them to the negotiating table? Under the Road Map, a Palestinian state was supposed to be completed by 2005, right?
Update: The Israeli embassy called me back regarding a work visa. The lady told me that I could not get Israeli citizenship if I wasn't Jewish, even with a work visa for years. Sorry folks.