America has been supporting terrorism for decades in various places around the world, including the Middle East. So has Israel. There are no clean hands in this conflict. I would be happier if they all stopped it, less happy if only some of them would. I'm not holding my breath.
If by "occasionally negotiating" you mean a politician asking for his own citizens to continue to be held hostage for his own personal gain, then yes, I guess that's correct. Likewise, if the obvious response to Hamas's attack is to start shooting children in the street, then I would say your integrity is as compromised as the leadership of Israel's is.
The regime I'm talking about was put in place in the 50s by Americans, and remained there until 1979. The people of Iran who are upset with America in large part had to live with the consequences of those actions which happened in their own lifetimes. Expecting them to just wave it off as a long time ago as you are is pretty disingenuous. As for the dodgy politician nationalizing things as an impetus to remove him, well, there have been far dodger politicians who haven't been removed, and over 50 nations have nationalized things in the last couple centuries, including both Canada and the US in that same time frame. Why is it not only bad when this guy did it, but bad enough to start toppling governments?
I also agree with dealing with authoritarian governments, but there are about 80 in the world right now, and the only two America has invaded happen to have a lot of oil. Why is that? Moreover, there are other ways to deal with authoritarian regimes, such as sanctions, non-proliferation agreements, and supporting enemy nations should those authoritarian regimes try to step out of their borders. Of course, those other things were being done before this war came along, but I guess since they weren't attacking their neighbors, things had to be stepped up. It's absolutely a problem that Iran is repressing their opposition and have drastically curtailed freedoms as compared to most western nations, but bombing people rarely fixes that. It certainly hasn't slowed the executions in this case.
Again, you're trying to imply tacit approval of terrorist acts, as opposed to an amount of expectation that some subset of the oppressed population will respond in inappropriate ways, whether they be Hamas, Sinn Fein, or whoever else. But when you start shooting kids in the street, targeting journalists and aid vehicles, and torturing prisoners and protesters, you aren't engaging in war, you're engaging in war crimes. That distinction might be too subtle for some. And as for who is ultimately responsible, I'm not sure any of them are still alive, but killing a few tens of thousands more just might fix it all, right?