Yes. Iran did have a democratically-elected Prime Minister before they were removed in a joint US-Israeli coup d'état. Iranians are perfectly justified in viewing America as the enemy of democratic reform. They are also justified in their worry over Israel installing a worse theocratic death cult, as I argued above.
Ah well, let's just leave them be then. The people are upset. You're right. We should just let them enrich a little more uranium and hope for the best.