Back when the Pistons had the bad boys and Chuck Daly, they disrupted Chicago's Triangle offense by basically playing "dirty". Which is usual for that Detroit team. They would grab, clib, hold, bump, etc. Basically, they did whatever it took, especially when the ref is looking elsewhere, to keep the Triangle from forming. They disrupted the triangle and kept the Chicago players from getting to their spot. I'm no coach or anything, but from everything I've heard and read about the Triangle, it depends on very precise movement, coordination, reaction, and decision from all five players. What Detroit did was to disrupt the movement, by holding, grabbing, pushing, shoving, etc. Basically, you play dirty to disrupt the very precise, very complicated offense.
I'm not sure if that's what Thibodeau is planning to do. Somehow that type of defense leaves a bad taste in a lot of people's mouths. If there is another way to stop it, that would certainly be preferable to playing dirty.