Line locks

So, sounds funny, when I'm at a stand still and stab it, no problem. It will put you sideways. When I stand on the brakes and throw the gas to it, it dogs??? What gives I wonder? 1971 Dart, 360 built by Hamilton machine, 904 by Cope racing, 355 sure grip. New Willwood discs on the front. So, Line locks. Any one have a preference? The car is a three speed auto on the column. Where have you installed the switch??? Any help is appreciated.