Possibly, especially if Ahmadinejad holds on to power. It seems like both of these countries are currently on a collision course. Israel has a strongly nationalist government in place and Iran isn't budging on its nuclear program. Sounds like a recipe for confrontation. Could a broader war come out of this? Depends on how the international community receives it and how Iran reacts.

There is a reasonably high chance that this could happen.

...and the world will inherit the mess.

Last time I checked, the Hell cannot be bombed, and it is definitely not in Iran. But an attack is within the possibilities. It all depends on who blinks first.