Occasionally, when I approach a Stop line, or otherwise come to rest under normal driving, (i.e. no heroics) during the last 2 - 3 feet of movement, the steering wheel wants to do an abrupt right turn (unless I hold the wheel tightly). Any ideas what's up?

 

Check for tire pressure (and a nail) in your right rear. While you are at it, check the left too. Hey you may want to check the front's too.

All kidding aside, you likely have a low right rear tire. Crowned roads can do this too but not really so severely as to notice. Check the pressure.