Conflict of interest? No, I mean that there are plenty of red flags that might not concern an SEC school, but which the UM BOT might take issue with.
Again, I'm not against Kiffin, but consider this. Well-known nutbag Dan Mullet has interviewed with UM twice. TWICE. And failed to get an offer both times. Kiffin was available all those other times (or would have made himself available), and has yet to even be interviewed.
You know who else couldn't get an interview at UM the last couple of times? Butch. And Butch actually proved he could do a great job at UM.
I'm really not sure that Kiffin even gets a full in-person interview at UM, though he definitely has some fans on the BOT. We'll see. I'm not opposed, but I would be very surprised if it gets serious with Kiffin, let alone "he's hired".