Originally Posted by slapstick13
I never palm mute. I either play fingerstlye closer to the neck, or with a pick over the pickups. I just don't know how far off the bass the bridge come sticks out.
The front edge of the cover extends past the front edge of the bridge (the edge closest the pickup) any where between 1/4" to 1/2 " at most. Plenty of room for the way you describe your playstyle.
Here's a pic of my Squier VM P with a bridge cover, maybe it will give you a better idea:
Plenty of room for your playstyle, if you ask me.