I've heard Delta favors military and that may work in my favor but I know their are plenty of good qualified pilots on the civilian side too. My best friend out of college went to Eagle and I went military. Now we are both applying for Delta. I hope he gets hired as much as I want it.
My outlook is we are all qualified or else we wouldn't apply. It is the attitude and preparation for the interview that will separate everyone. A friend of mine who got hired in 08 told me, "this is a 5 million dollar job if you stay until retirement. So make sure you approach it that way with preparing in all aspects. None of us are for sure hires."
So I have done just that like I did in pilot training. Study, interview prep, go over and over your résumé for accuracy and be level headed. Check the fighter, entitlement ego or whatever it is at the hotel room before you get to Delta.

Damn, I've rambled again. Off my soap box and checking out.
Cheers