I wouldn't assume this is a bad thing. It kills your drawing opportunity because you'll rarely be getting the right odds to just smooth call on a draw, but you have a huge upside when you make a strong hand. If they think they can push you around(and they might, because you'll be constantly folding draws, middle pairs, etc) then they'll probably try it when you know you've got them beat too. Let them do the betting for you until the river and then make a strong play. They'll probably be confused because you've just been calling the whole time.

Basically, I'm not sure this is a disadvantage, it just means that you can't afford to be flippant with your chips. Play extra tight and similarly aggressive with your hands, and your patience should pay off.