You should look into how many air craft carriers the US has, how carrier groups work, and then also look at the air force and the operating range of some of our air craft.
Some of the aircraft literally take off from the Continental us when they run missions in the middle east.
Also there are somewhere between 20 and 28 US military bases in the middle east alone plus 30-40 in europe. All of those could easily host offensive strike craft just fine.
it looks like you don't have a good understanding of the capabilities of the US military or how we operate, so perhaps you should do more research.
Also, just FYI, every single one of the sources you cited has some pretty heavy bias. It might help you to seek out some alternative sources. I think you're in some kind of algorithm bubble and it's distorting your world view.