This post is how you get better. Most wrestlers are brought up in a very competitive, testosterone-filled environment that makes a lot of them very closed-minded. They like to use athleticism and power to smash their opponents, and often do moves that obviously won't work just to try to break the other guy's will. What they don't do is analyze what parts of wrestling break down with the addition of submissions, or ask better grapplers how to improve. By acknowledging that the people here can help you, and showing a willingness to break old habits that work in a pure wrestling competition, you are opening up your game to great improvements.
For specifics, here's a few things that I find very common among wrestlers making the transition:
1) Stop using so much power! BJJ is about technique. There's a reason that aging black belts can still whoop on younger competitors. Watch JJM roll, or better yet, watch the gym match between BJ Penn and Leo Viera, where they roll at 30%. Exploding through a motion will sometimes make a move work, but then you don't learn what minor part you were doing wrong. If you get the technique down perfectly, it should be effortless.
2) Easy on the crossfaces. Partially because you will piss off your opponents, but more because you will get armbarred and have your back taken all the damn time. This is why everyone say wrestlers give their back. The crossface that works in BJJ is very different to the one in wrestling. BJJ requires T-rex arms.
3) Here's the biggest one, IMO. A girl started training with my gym recently, who is a MONSTER wrestler. Here technique is getting strong WAY quicker than I expected, but in terms of wrestling, she is already probably the best in the gym. She's like 130 lbs, and I have watched her drop large men who compete like they are nothing. So what is she working on? Obviously her passing and her subs, but mostly, her guard! She is expanding her spider, butterfly, and half-guard, and focusing on sweeps. So now, even if you manage to sweep her (good luck), you are constantly defending the sweep, and if she can even get one leg out from under her, she's back into a single or something. The point is, don't show how tough you are by using your wrestling. Your teammates are there to get you better, not to judge how good you already are. Work on the areas where you feel most uncomfortable, so that when they get strong, you also have your wrestling to fall back on.