I agree with your theory. But Iran has passed that period in 2 aspects. There is no way Israel will allow Iran join US-Israel. Let me explain a little bit.
First Iran is country with huge potential:
1, Very strategic location, connect Turkey, middle east and rest of Asia, hold throat of Strait of Hormuz.
2, 1.6 million square kilometers territory, rich oil resource.
3, Large population. Iran birth rate can be high if government stop controlling.
4, Very deep culture, very old proud history and intelligent people.
5, Leader of Shia Islam, huge ideology potential.
Second, Iran could NOT defend himself after cold war. But Bush has destroyed Iran geopolitical enemies, from east and west side. Now Iran can defend himself:
1, Iran may get Nukes from North Korea already, or may not. Nobody can be sure Iran doesn't have Nukes.
2, Russia is recovering, China is rejuvenating. US could not be dragged into another war with Iran. Can't afford it.
3, Iranians are united, not like Iraq or Egypt. Americans troops will be surrounded by hatred if US try to conquer Iran. Not possible.
If US invade Iran, US will be defeated again. Just like Korean War, Vietnam War, Iraq, Afghanistan War.
US never won a meaningful war after World War 2. Just bully some inferior/divided/small countries.