Not saying you're right or wrong but please provide supporting evidence for the claims you've made. It sounds very armchair espionage to me...
https://www.motherjones.com/politics/2011/07/fbi-terrorist-i...
https://www.motherjones.com/politics/2013/01/terror-factory-...
Not saying this has anything to do with JFK, but the comment you replied to got the part about the FBI right.
Really interesting links thanks!