There have been some real good explainations of KE, momentum, velocity... Feels kinda like I just sat thru a physics class. But the question could have been answered very simply.
Answer to question:
Is the impact of being hit by a bullet the same as the recoil felt by the shooter?)
No. Not possible. The weight of the gun would deter the effects from the start. If the bullet firing, and the energy transfer worked that way.
I don't understand how this is even a debate. Go to a recoil calculator like the one found here:http://www.handloads.com/calc/recoil.asp
Then look up the KE produced by your bullet. Not even close. If my rifle produced 3400 ft/lbs into my shoulder...no. Dumb arguement.