I would think that if your sole purpose were to avoid theory, you'd be much further ahead with the London. You can go very, very wrong quite easily in King's Indian games. The basic solidity of the London makes it perfect for the get-to-the-midgame-and-play-chess mindset.
KIA is not KID. Even if you play a reversed KID (quite rare) there is not too much theory involved.
There are better openings, but for someone around 2000 USCF strength who wants to reduce theory, which do you think brings the best results?