Aw hell naw! Screw up their projects in subtle ways while you're there.
I like the way you think, but if one really wanted to toss a monkey wrench in the works, go full out and make it look like their true believers were the ones causing the problem. Maximize the disarray, and perhaps the program would end.
I know, that isn't fighting 'fair', but the gloves are off. The only rule in a bare-knuckle fight is to win.