Competitive mins are probably about the same as they are for any other major/legacy. Published mins are only really the basic requirements for the job, not what it takes to get an interview.
I'd guess competitive mins are probably along the lines of...
4000-5000TT
1000 TPIC (Having it be in a jet can't hurt)
A 4 year degree
Current turbine flying job
1-2 recommendations from US Airways pilots
With how few people they're hiring right now and the fact that thousands out there meet those requirements, what you really probably need is something special on your resume that sets you apart. Training department, management, having the right connection, etc can't hurt thats for sure.