It absolutely would be wrong to blame the anti-war anti-GOP anti-neocon people who opposed the war vehemently and protested on the streets in opposition against that war. It would also be absolutely wrong to kill such anti-GOP people via indiscriminate bombing.
It's not an individual blame, but sometimes innocent suffers the decisions of the leader. Like I am not sympathetic to Russia at all regarding sanctions even though I know not all Russians support Putin's plan.
And American's absolutely do suffer from their President's actions(although not that much).
That's kind of an interesting analogy, since DC itself is an overwhelmingly Democratic city. They themselves would love to be rid of Republican leadership, who have a strong influence on city policy via Congress. They did not select them; they were sent from elsewhere.
If you offered to blow up the city in order to take out Republican leadership, more than a few would at least be willing to consider that tradeoff.