So Israel can attack them at will? Israel's neighbors have not only vowed to detroy them since Israel's independence but have attempted in a number of times. Israel's military strength is necessary from a DEFENSIVE standpoint. If Israel did not have nuclear weapons as a deterrent they would be gone by now.

Israel's aggressive military stance is due to the fact that it is basically settler-colony set down among an alien population. By declaring itself a "Jewish state" has only relegated Palestinians to second-class status within their own homeland. This is a formula for lasting hostility and an end must come to this apartheid creation. Irrational, hysterical people view this as a call for the "destruction of the State of Israel" (with images of atomic clouds) or "driving the Jews into the sea." This Zionist concept is at odds with traditional Jewish philosophy, which says Jews ought to live as equals with their Muslim and Christian brothers, not as their overlords.
As for Israel's nuclear arsenal, this the root cause of the current standoff with Iran. If Iran is indeed seeking to develop nuclear weapons (which they say they are not and the evidence supports this), it would be to protect itself from any threats of the sorts of attacks that Israel has visited on all of its neighbors at one time or another. The obvious solution is that no Middle Eastern nation possess nuclear weapons (including Israel). But since Israel will always want to keep its OFFENSIVE edge, other nations may sooner or later want to possess them for protection.
Israel, by playing policeman in the region and attacking its neighbors and by not coming to terms with the core Palestinian issues, has only brought upon itself more problems and has added to the instability and popular unrest in the region.

Rightly so. It's the only way Isreal can exist in an area where it's neighbors vow to exterminate it. Isreal wants to be left in peace. The Arabs only want to war. They can't even make peace within their own countries.