I had the opportunity to shoot a new Kimber Pro-Varmint a few years ago in 204. With Hornady factory ammo (32gr V-Max) the gun would easily shoot sub-1" and with practice was a consistent half moa gun.
If I've heard people complain about Kimber accuracy its usually been Montana's which I don't think are really intended to be great shooters. Light weight barrels and sub-moa usually don't occur together. They are advertised as hunting rifles not bench rifles.