Bumper cover will fit with no issue.
I own a 1500 & 2500 both and when I trashed the 1500's bumper cover this fall I swapped the cover from the 2500 over and put the replacement 1500 on the 25 since I rarely drive it now. Keep your cooling in mind, fwiw mine hasnt showed any heating issues in the 2 100+ mile trips it's had since the swap.