1. You're asking because there is the normal amount of office conflict in your work place? 2. You're trying to build a "Team of Rivals" company culture like Barrack Obama in 2008 i.e. making Hilary his secretary of State 3. You're giving me a coded message that there are genuinely prickly personalities and a lot of conflict in your team?
Number 3 is the real question.
The good thing about asking reverse questions is that you can avoid getting bad clients and employers. The problem with asking these kind of questions is that it puts the employer on the back foot and is unlikely to result in a job. It will depend on how much you want the job I suppose.