if they do file, do u guys think it is more likely to get approved or rejected?
Rejected.
Stern has already gone public with his opinion and has allowed (or created) the press piece that the NBA recommended the Kings to stay.
That was the surest sign yet that this move won't happen, regardless of what the Maloofs want.
The Maloofs publicly stated that they were seeking advice from Stern. That just further strengthens Stern's resolve to see the advice that he spent good money coming up with see followed through. They asked for advice, he spend money getting it to them. Then they're going to reject it? And Stern won't squash them? Don't think so.
Forget the Maloofs image... they deliberately got Stern's image involved. Once he lent his image... this thing effectively became his decision.