In the first books of "Jason Bourne" by Robert Ludlum, is it realistic that the military and the CIA work together in a black ops project just to bring down one single man?

As I remember, “Jason Bourne” was a made up person. Yes, David Webb was a commando that played the role when a real human was needed. But they attributed pretty much every nifty hit that occurred in the world to “Jason Bourne” in the hopes they could get the Jackal pissed off enough to come out of hiding and try taking a shot at Webb (Bourne). Could the CIA and military have cooked up such a thing? I don’t see why not.

Side note: the events in “Ronin”, with Robert DeNiro, take place in the same universe as Jason Bourne.

Regarding the military and the CIA working together to bring down one man, you might as Osama bin Laden.

How much military involvement was there? Training an operative in things that the CIA at that time can’t provide? If that’s the case then it shouldn’t come across as astounding.