SWA airlines is known to only interview pilots who have obtained a 737 type. Maybe they got one before being furloughed by UA, but most have to buy it before thye can get an interview.
Generally a type rating is of little use unless the company specifically asks that you have one. Any typre rating would at least prove that you can be trained.
If you're already at MAPD, go ahead and finish and get your job. Then get a CFI and do a little of that on the side to improve your resume.
Any kind of military background is a plus when you apply to a major because it shows that you can function as a team player in a dynamic environment, but only an actual pilot job will count towards your minimum flight requirements (backseater, navigator will not count). If you can get a pilot slot in the ANG, drop everything and DO IT.