See I'm applying what I've read in other playoff threads here. According to others, if its a multi-team tiebreaker, KC will eliminate Denver. This is because to narrow it down if there's a 3-team tie if two teams are in the same division, they're first put h2h, and then the winner is put h2h with the third team. In this scenario, KC would be put head-to-head with Denver, and would knock them out. Also, since its the Dolphins who you have beating the Jets, we'd have a better conference record, and we would knock the Jets out because the Bills and Jets are in the same division.
That would leave KC, JAX and the Bills at 9-7, with Denver and the Jests eliminated. And from what I've read, we'd hold the AFC record tiebreaker on those teams. [EDIT: I just tallied it up. If we win out, we're 7-5 in conference. The Jags are currently 5-4, so if they finish 9-7 they'll be 6-6 in conference. The Chiefs already have 6 conference losses. So if they finish 9-7 we will have a superior AFC record to both of these teams and thus will in fact have the tiebreaker on them.]
If you want to be sure, read some of the other playoff threads. But that is what I've gathered.
Oh, and one thing to potentially be afraid of is that Denver does hold the tiebreaker on us. If Kansas City isn't also in the tie, then Denver trumps us. We need Kansas City there to eliminate Denver h2h.