Certainly, the creation of these groups changes depending on which decade we're in or which country, but the US military isn't much in the business of murdering random civilians and then justifying it by saying 'god is great'.
I won't bother quoting your whole post, and I'll get to your other points but I really want to start here. The US military has been responsible for
plenty of civilian deaths during the wars it habitually gets involved in, regardless of if they have anything to do with said wars or not. You're right though, it's less about "God is great" and more about "America is great". Don't get me wrong, I don't blame soldiers for following orders, that's what they're trained to do. I blame the government for being there in the first place. We're getting off on a tangent a bit there though so onwards to everything else.
It is completely wrong to vilify Muslims and associate an entire religion with a minority sect of extremist terrorist. It is not wrong to hold a government responsible for its actions. Those two things are completely different. It's not a coincidence that Muslim terrorist groups started becoming more and more active/dangerous when the US started getting more and more involved in the Middle East.
I'm not employing "selective logic", I'm doing two vastly different things. I do not for a second believe that the US is for some reason populated entirely by trigger happy, nationalist invaders. There's a lot of good people in the US asking the same questions and making the same points as me. I'm saying that the minority calling the shots and controlling the military is at the least partly responsible for the repercussions of essentially invading foreign nations and making shit there worse.
I also though I made it pretty damn clear, I don't think there is any excuse for what ISIS do. I said almost word for word "it doesn't matter what the US did, it didn't matter what is their fault - terrorism is never okay." ISIS are evil, simple as that. The fact that ISIS are evil does not excuse that other countries, in particular the US, made the instability in the Middle East worse over some oil. It doesn't change the fact that by vilifying an entire religion for the actions of a small group and for encouraging that kind of mentality you make things worse. It's not hard to work out. You take a young, Islamic kid, add a government that spreads hate for Muslims, add a populace that buys into that narrative and not only perpetuates the hate more but actively discriminates. Young people are already at time of their lives where its make it or break it. By demonizing them, targeting them and making them feel victimized and alone you make it so much easier for extremist propaganda artists to snatch them up.
I'll put it simply. I don't condone what ISIS do. I don't condone that kind of injustice from anyone. They're a mob of lunatic terrorists, they are not good people. Some of them, hell a lot of them probably, didn't start out that way though. You need to take off the America-coloured glasses and acknowledge that the US isn't the solution it's a part of the problem. People like you, who seem to struggle differentiating extremism from the modern religion aren't much better.