If it were me, I'd keep my mouth shut about all that kind of stuff until I got elected

Currently, association with conspiracy theorists is Kryptonite for a national political campaign

If he waits until he's the POTUS and then lets the cat(s)out of the bag, he's more likely to have some real influence

Of course, that would greatly increase his chances of getting JFK'd

But BG and S&B etc are small potatoes, we've probably never even heard of the real top tiers of the power structure... alas, we are the profane :(