I dont think mullahs and maulvis have a strong hold on the society. A muslim has same problems as a hindu. Never in my life have I seen a mullah or a maulvi dictating the lifestyle of a particular individual.
If you ask me to come to a procession that demands land for amarnath shrine I will join you and so will other muslims. You just have to ask.
People close communication lines and thats when politicians take undue advantage.