Billy Corgan is not necessarily a fan of Donald Trump, but he does seem to relate to what he referred to as the "chaos theory" within his politics. Perhaps the eccentric frontman of The Smashing Pumpkins relates to the public entertainment factor and level of uncertainty that the politician brings to the table.
Rolling Stone reported that the rocker touched on the Donald's ability to stir things up, saying "I think what's cool, and I'm not saying I agree politically, but I think what's cool is that Trump's running chaos theory. He's forcing a lot of things out into the open, so they can't control this, whatever that control is." The campaign trail leading up to an election can be yawn-worthy and Trump does seem to be good at shaking it up with his larger than life hairdo, controversial commentary and celebrity status.
Corgan then related it back to what he knows, continuing with, "It's like the music business: everybody gets controlled, and somebody comes along that f*cks it all up. So I think it's good that he's f*cking it all up, because whether or not he's the guy, obviously the political class doesn't want him there, it'll open up to a bigger dialogue." This dialogue namely being the thin line between politics and entertainment in today's cultural climate, More recently, we can thank Arnold Schwarzenegger for that but it really goes all the way back to Ronald Reagan.
It isn't surprising that Corgan didn't seem to be perturbed by entertainment crossing that line, which makes sense as he is himself an entertainer. Billboard reported that the frontman ended with, "Who cares? I would argue at this point is there any difference at this point between politics and entertainment? I don't think there's a difference anymore."