And this can only become a bigger issue since resolution increases while sensor size shrinks or stays the same. It is an old truism that you should care more about the quality of your lenses than your camera body, and that hasn't really changed.
The only problem is low light. My 600D takes fine photos in sunlight or with a flash, but otherwise the sensor noise is awful.
Seriously though, the comment about focusing on lenses instead of bodies is spot-on. Photography is the art of manipulating light, be that via off-camera flash, better lenses or picking the right time of day.
Getting a fancier camera body only lets you pick up the electrons that are already there, you'll see much larger improvements in your photo quality if you focus on the other things first.
Most wide-aperture lenses have larger AF motors to compensate with the exception of a few unique lenses that use a gear instead of servo motor(USM in canon parlance).