Superior US army? How many divisions did the US even have in the European Theatre at that point in time? The Red Army was busy bulldozing the Wehrmacht, one of the fiercest battleforces the world has ever seen, over the longest frontline the world has ever seen. Sure, the US had the prospect of Nuclear Capacity, but after you've nuked your 2 or 3 targets, you still have that massive army that's had plenty of opportunity to get experienced in front of you.
..and he would have gotten his kicked. It would have been hard, no doubt, but the last 60 years would most likely be a lot better, especially if you lived in Warsaw, Tbilisi or Tallinn. It would have been asking a lot from our boys, but they were already there, they were already equipped and they certainly would have gone if asked.