No contest. I've extensive experience with the DVX, GL1/2 (XM1/2 over here in the UK), XL1 and other 1/3"CCD cams in a variety of situations, documentary, drama, ENG, music video, live music, corporate, wedding etc, etc and the DVX is far and away the best overall for any of these situations.
Balanced XLR audio for the DVX, unbalanced minijack for the GL.
Infinitely better LCD pullout screen on the DVX - the image snaps into focus much easier than the (smaller) screen of the GL.
Manual Zoom on the DVX for those funky MTV crash zooms.
DVX can shoot progressive for the film look (sort of) if that's your thang - can't do that on the GL.