Israel will stay OUT of our fight with Iraq, up to and until Iraq carries the war to Israel, by way of attacking Israel. Then it becomes Israels war too.
A parallel to your thought is: Canada goes to war with Mexico and expects the US to stay out of it, even tho Mexico bombs Wash DC, it is not the US's fight. The US should stay out of it and suffer the damage.
That is bullsh*t thinking.
Any country that is attacked by another country has the right to defend themselves, including Israel.
If Iraq is stupid enough to attack Israel, again, the war will be over in about 24 hours, with Baghdad a smouldering ruin.
Your analogy is such a weak way to analyze the situation in the Mid East. If Canada or Mexico began to destabilize, America has the economic, political, and military might to address the situation quickly. Israel does not. Israel has been given much armament by the US. Financially, they are certainly tied to the US markets.