When you start climbing the steep mountains in thin air you will wish you had picked the lightest rifle you can find.
This is the deciding factor if it were me. All of the cartridges you have listed are more than capable of taking a mule deer. It comes down to what type of hunting you plan on doing. If hiking long distances and packing your kill out are involved you'd be wise to choose the lightest rifle of the group. If on the other hand you're using horses and walks are short, take the rifle you feel most confident with.