I have one and it works fine with a 1.4 converter . The lens is rather heavy , so if you're not use to the weight , you might think about a monopod . You also might need a monopod if your useing a slow shutter speed @ 420mm . It just depends on how good you are at hand holding the lens . But there is no reason you shouldn't be able to get great shots with this lens .
With the hood and tc, it's also rather long . So if there is any limit on the lenght of the lens , I'd leave the hood and tc off when you go in .
But , I don't shoot motor sports .I shoot mainly youth baseball , and I hardly ever use a tc for that . When I use it with a tc , it's mainly for wildlife/ birds .