It doesn't work that way, there is a pretty clear separation between civilian and military intelligence. For example, CIA and FBI are civilian, NSA and DIA are military. This separation is both legal and practical.

Some agencies are more influential than others but that waxes and wanes over time. There is always some agency in ascendency and another in decline. I've seen the centers of influence shift between agencies more than once.

Your conspiracy theory is a bit overwrought.