There are all kinds of people who can bowl well; tall ones, short ones, skinny ones, fat ones, etc. You will see many different styles, too. Some have high rev power games, while others are considered strokers. The good ones are the ones who can repeat shots with some regularity.
Your only task is to decide what your "A Game" is and your strengths and then to "bowl like you do". All of us are only human, and if you start stringing some strikes together your opponent will notice, and all the sudden you're the one that others are admiring as "composed, smooth, and unflappable".
Bowling is, from a mental standpoint, one shot... then one shot... then one shot... etc. Try to learn something from every shot (good or bad) and move on to the next one. It's recreation. Try to enjoy the process of it all and then you'll find a way to relax and really tap into your potential. When you're at peak performance you'll be in a "focused, relaxed state" that allows muscles to move freely as needed. Remember that you'll never be able to bowl just like ___________ . Be the best at bowling like you do.
Having said all that, proper footwork and mechanics will also help because they (along with a solid mental approach) will help you to repeat shots. Never underestimate the mental side of the game, though, because it really is the key to tapping into your potential. Good luck.