Nope, an AW mag on a Tempest should be snug against the bottom of the action. In most stocks, you need a taller mag catch for the AW to present correctly, and it sounds like your MPA doesn't have it. If it doesn't have an adjustable catch (Not sure when/what models MPA started doing that), you should call MPA and talk to Woody about a taller mag catch for an AW. On my Tempests (Using PDC Custom chassis with an AW catch) there's some side to side wiggle on my AWs, but no noticable wiggle fore/aft (IE: parallel to the barrel). If you've got any up/down or fore/aft play, then the mag may not be sitting up high enough, allowing it to get out of whack like you described earlier.
Now, if I am misreading your issue with the round hanging up going into the chamber, I apologize. The way you described where the bolt is hanging up makes it sound like the case isn't releasing from the mag correctly, causing the bind up. If that's not the case, ignore the comment on the mag catch (at least for now), and see if you can get a good photo or video of what's going on.