No, they haven’t.
Haha. Decades of NATO higher-ups saying that expanding towards Russia will cause war with Russia, refusing Russia's membership in NATO, and admitting that the war was preventable by Ukraine not pushing to join NATO is somehow indicative of not pushing for war with Russia.
Russia has nukes. Iran doesn’t.
And? Sure, that does make NATO more cautious, but NATO has still been targeting civilians, has been carrying out strikes at nuclear power plants, has been committing war crimes against Russia, all without Russia using nukes. Going to also remind you that NATO also pushed for war with the USSR when the USSR did also have nukes, and did attack the USSR in various ways.
They would be at peace,
Haha. You trust your empire that has been constantly invading everywhere, doing genocides, carrying out terror attacks (including via DAESH) to be at peace in this case? Why?
and the myth of their military might would still be unbroken.
Considering that Russia has been beating NATO in this conflict, it seems that the only myths that got broken were of NATO's capabilities against near-peers.