Yep thats fine. Just to breifly answer your questions; the lifts do stay open until at least mid september, and the weather tends to be pretty stable around that time too (August gets more thunderstorms). The riding is all 'Natural' with the exception of one very poorly looked after trail (it seems to be getting better the less it gets 'maintained'). Braking bumps are non-existant in Kitzbuhel. Even with the lifts, rides can include an hour or so climb to get to some of the singletrack, but most of that can be done on fireroads.
Kitzbuhel itself is a great town to visit, and in September, Oktoberfest celebrations will be in full swing!