I just had to remove my glove compartment a couple months ago as part of another issue, and it was frustrating. Here's a link to my description:
http://www.subaru-svx.net/forum/showthread.php?t=60290
The strap in your pictures is the one on the right (passenger) side. It will easily disconnect from the top if you slide/jiggle it around a bit. I don't remember exactly, but I think you need to slide it to the right, and then it will come down and out from the dash. I didn't go into detail about that because mine was so easy it came out by accident. The one on the left, the one you already have disconnected was a problem for me.