Is that the debate we're having?  At the very least, it goes against the stated intentions of the US, UN, Iraq, and the Kurdish government themselves.  Further, the Kurds have a history of allying themselves with very untrustworthy sponsors.  

The Israelis would certainly follow that model.  They are not there to help Kurds, but to prevent a strong Iraq and to fuck with Iran as well.  The Israelis would sell out the Kurds in a second if their tension with Iran came to an end, if they got a better deal with the Iraqi government, to protect their alliance with Turkey, or for any other reason that suits them.  

So don't give me Kurdish independence crap.  Israeli commandos are certainly not the way to attain it.  Having US soldiers die in a possibly futile effort to hold Iraq together while our putative ally Israel works to pull it apart is enough to cause a little bile.