There will be plenty going on although by the first week of September Uk families with school age children will be going (you may find that a bonus). Same goes for Turkish families with children. The more mature visitors tend to still be around, younger ones with no kids and those with pre school children. The weather then is often fab with the extreme heat just toned down a notch. The sea will be very warm - lovely. Evenings do start to draw in a bit then though. However in my opinion it's one of the nicest times to go.
This year Ramazan starts on 1st September. It won't affect tourist resorts much but no doubt you know it is rather insensitive to walk around the streets eating, drinking or smoking. It won't affect the opening times of restaurants though they still go on serving through the day.