They fundraise from America, have schools and training centers in America, collaborate on PR projects, planning, etc... I could really go on and on here....
Very frankly, I find the "schools and training centers" a bit much. I mean, the DHS has disseminated weird posters about how to spot a terrorist in hobby shops and stuff like that. Nobody is going to mind their own bidness if they get wind of a suicide bomber school and/or training center.
I'm going to need a couple cites from a reputable, mainstream media web site: you said "schools" not "school", and "centers" not "center". Not to belittle your viewpoint, I just haven't seen any such news reports.
Interesting, but are you sure of that one? The only references to Jihadi training camps or schools look vague:
A key American aide of hate preacher Abu Hamza suggested setting up a terrorist training camp in the United States so British Muslims could learn to fire guns and practise warfare tactics
Ujaama drove nine hours from his home in Seattle to tiny Bly, Oregon, to check out a potential camp where he said the arid mountainous terrain was similar to parts of Afghanistan.
Sorry, this one just doesn't count. It's a transcript from Sean Hannity's Fox show. Even Hannity can't quite pin down whether there's a terror training camp or not:
HANNITY: You're saying without a doubt you can look in these cameras tonight and tell the American people that there are terrorist training camps on our soil, we're not doing anything about it, and they're planning, and they will hit America?
MAWYER: I would say without a doubt al Qaeda would love to have such compounds that range from 25 acres to 300 acres sitting on American soil in order to hide terrorists, hide weapons, and train future jihadists for the United States. It's shocking.
Mawyer's answer seems like a dodge to me. I even get the feeling from reading the transcript that Hannity didn't quite believe him.
To sum up, I'm pretty sure there were never any jihadi or training camps or schools in the USA. Your articles are vague at best.