Everybody knows that the resampling done by the Soundblaster Live! hardware is very bad.

I use the kx drivers. Do they solve this problem by doing all the resampling stuff in software or do I have to use resampling in my software players to circumvent this problem?

Nope, they do not resample in software. I do know that for the soundblaster live series though they can do passthrough or something which bypasses the cards resampling. If you dont have a live then you will need SSRC.