the new flip up power and heated mirrors will not fit on a '01... there is 'SOME' way to take the bolt assembly off of the factory mirrors and put that on the new heated mirrors but it takes about 8 hours to do that! granted that could be just a rumor! I can't remember where I read that!!!! but the problem with doing that is the strength of the short bolts on the factory mirrors would probably cause vibration in the new mirrors! so that option isn't really fisable.
I'd check ebay often and see if you can't find someone that did a swap out to the flip ups and jump on that... granted you may have to buy the left and right but you can probably get that done cheaper than ordering a new one from dodge!