Believe me I love having excess power too. There's nothing like pitching the truck into a turn and powering out sideways with a big rooster tail of dirt. That's why my LST has a 1717 on 6s.

This pulling to one side on the brakes, is it at any speed or it mostly from higher speeds? The tire ballooning hurts traction and makes it easy for the diff to unload when accelerating and also when braking. I used to run an ERevo that was 1520 6s powered with Losi Claw tires that weren't taped. They'd balloon like crazy with lots of sidewall flex, talk about squirrely, sketchy handling. Stab the brakes or throttle at speed and it would dart left or right even if it was pointed straight. If it wasn't pointed straight and you stabbed the throttle or brake it would get crossed up like a motorcycle doing a tank slapper, all because of the tires. After that I vowed to never run tires that tall without being taped.