I think your analysis is missing something. It’s not islamists that are the problem (any more than any religion is). It’s that the US is a destabilizing force in the Middle East. As long as we have our fingers over there people are going to be pissed about it and do wacky stuff like fund terrorist organizations.
If the US and Iran switched places. I guarantee you we’d be doing the same thing.
Don’t let your religious bigotries give you brainworms.