Take it to a gunsmith and have him check it out. I have not owned a Remington 1911, but I own or have owned numerous 1911's made by Colt, Springfield Armory, Para Ordanance, Kimber, and an AMT Hardballer, and this sounds like way too much movement.
BTW, a good 1911 trigger should have mebbe 3/32" travel and no over a 4 or 4.5 pound pull. I prefer a 3 lb. pull.