As others have said it not the camera; it's the shooter. Also its not so much the camera as the lens. Get the very best lens you can afford.
I agree that it isn't the camera, but I also have to say that within limits it's not the lens either. You can get Canon's f/1.8 50mm prime for under $100, and it will shoot in low light, produce great image quality and it weighs very little. And the kit lenses the come with the camera, while not outstanding, will still get you a lot of great shots.
If you are shooting action spots at over say 80-100mm in dark conditions it can help to have a fast (say f/4 or faster) lens, pro's use f/2.8 and sometimes faster lenses. But at the end of the day if you know what you are doing you can get away with lower level equipment - say f/5.6. And a major point here is that fast glass is heavy glass, especially at the longer end of the focal range. Also the newer SLR's have quite remarkable high ISO shooting abilities which means you have less need for really fast glass.
Get a decent DSLR and lenses that cover the range you want to work with. Spend as little as you reasonably can. Realize that better cameras and lenses you mean you spent more money for photographs that most people will never be able to tell the difference in - your skill level is far, far more important. Instead of expensive gear, spend money on classes teaching you how to compose great photographs. There are pro's who shoot using cheap consumer level point and shoots. The difference is that they know how to use them well and understand how to work with their limitations.