'I don't think we tried to destroy the notion of "iraq" or of being "iraqi."'
That's not what genocide is.[0] Destroying 'notions' isn't a genocide. (That's without delving into argument of whether or not Putin's actions fit such description.)
"In the present Convention, genocide means any of the following acts committed with intent to destroy, in whole or in part, a national, ethnical, racial or religious group, as such:
Killing members of the group; Causing serious bodily or mental harm to members of the group; Deliberately inflicting on the group conditions of life calculated to bring about its physical destruction in whole or in part; Imposing measures intended to prevent births within the group; Forcibly transferring children of the group to another group."
"I don't remember America violently putting down opposition to the war at home"
I don't think there was much opposition[1] thanks to American free mass media[2] and ones who did protest occasionally got arrested. [3][4] Situation in Russia now is harsher, of course, but still.
"I could be convinced that we were worse than I think."
Don't really want to, my point is that Hitler has set a pretty high bar and both Bush and Putin failed to reach it. So far at least :( Look at the genocide in Rwanda, that's what qualifies as a good attempt.
As a side note, do you remember Bush's Freudian slip when he said Iraq instead of Ukraine? The laugh in the audience is pretty disturbing [5]. I'd expect somber silence full of regret.
[0] https://www.un.org/en/genocideprevention/genocide.shtml
[1] https://en.wikipedia.org/wiki/Protests_against_the_Iraq_War#...
[2] https://www.nytimes.com/2004/05/26/world/from-the-editors-th...
[3] http://edition.cnn.com/2003/ALLPOLITICS/03/17/sprj.irq.antiw...
[4] http://edition.cnn.com/2003/US/01/19/sproj.irq.peace.protest...