You will have no problems getting hired at the regionals in general. Usually they will consider your military background a bonus (responsible adult). But interviews are usually done by regional captains...be advised that you might run into an interviewer who was rejected by, or resents, the military. If so, just roll with it...he will get his jollies by screwing with you, but will probably not have the nads to turn away a perfectly viable candidate over his personal sour grapes.

But it also depends on timing, if they are not hiring, you are out of luck. You could always flight instruct or try some other general aviation job to build hours in the meantime.

If hiring is very slow, then competitive mins will be higher. Also it look like congress is going to require an ATP for all airline pilots...this would be in effect by 2014 if the legislation passes. You might need 1500+ hours with several hundred ME hours to be competetive. I would plan on at least 1500 (for the ATP) plus 100 ME. The more ME you have, the better when times are tough at the regionals.