Bosch inpired by GTI? No. Did he steal or otherwise, have some inside connection to their research on ETAK? Yes.
Noble Rebellions?

Neither were "noble" per se. The GTI I think just plain old got caught doing whatever it was they were trying to do, wether it be overthrowing the GTA or killing the Vasudans. Either way, I don't think the Hades was their master plan, just another toy.
And the NTF weren't 'noble' at all. The whole point was that Bosch was using them to do what he thought was right. Really nothing more and nothing less. As I recall him saying, thje whole anti-vasudan bit was just a idea that would spring up all the old, hardcore Terran racists into fighting for him as a smokescreen to ultimately make contact with the Shivans. Now, his contact with the Shivans wasn't intended to try to get them into an alliance with the Terrans to kill the Vasudans, I think he was just trying to get them to act peacefully to the GTVA as a whole. Ironically, it probably was in his plan for the NTF to die off at the same point he made contact with the Shivans, as they would have no place in his future plans, and were, as I said, a means to an end.
As for Earth - Alpha Centauri contact, that's a point that's fair game for campaigns.