You're unlikely to get a recording from any pickup directly that sounds as good as using the least expensive mic you can find. Unless you like the sound of a guitar thru a pickup, which most don't. They work OK for live use, but in a recording, the sound of a pickup is painfully obvious to most. The best option you have if you really want to do it is to use ToneDexter, which will make your K&Ks sound much closer to an acoustic sound. It probably still won't fool anyone, but it would be an improvement.
I did a series of experiments to see what kinds of recordings I could make with a K&K quite a while back, using different techniques. You can see here:
https://soundcloud.com/doug-young/se...-a-pickup-demo
(Warning, none of these are very good...). This was done before ToneDexter existed. I should probably update this to include some ToneDexter examples.