In Chicago I've been to both the original Morton's on State and Ruth's Chris on Dearborn. In terms of steak quality I thought they were on par, but what has sent me on a RC love affair is their service. Our waiter at Morton's could not have cared less for our business. And my boyfriend was displeased by their lack of any beers on tap and a mediocre bottle selection.
At RC they bend over backwards to make sure you are having the best meal of your life. For example, my bf ordered his steak medium/medium well, and it came out medium rare. The manager (who had not taken our order) walked by at one point, saw the pink, and immediately insisted on getting him a new steak. My bf declined, but the offer was appreciated.