I'll vote for Tom.
I am a Jason Kidd fan but in terms of coaching, Tom Thibodeau is far superior.
The lack of a good roster is the only problem in why he cannot uplift a team.
But, here is also a simple explanation of why he should be chosen.

So he will be back to Chicago Bulls..
This is a great news for the Bulls fans, AFAIR Tom Thibodeau has done a great job with the Bulls back then, so maybe he can fix the Bulls to be back to become a playoff contender team. I remember the old days, the Derrick Rose era in Bulls and Tom was the head coach that time.