Therefore, I think I would choose to keep Thibodeau. The players seem to really like him, and I think he would do well as a head coach if given the shot.
Exactly, you think he would do well.
We have no proof he would do well. And we have absolutely no proof he could handle players the way Doc does.
If we kept Thibodeau is HC, bringing in low risk / high reward players like Stephon Marbury probably wouldn't be an option.
As valuable as Thibodeau has been, you really shouldn't even consider replacing him with Doc, who is one year removed from coaching a championship team, and may well be on the way to coaching two straight.
No way in hell. Not even an option IMO. The backfire would be too great, although I do understand where you're coming from in your thinking.