We see god in every thing even in monkey, thats the reason Siababa who was a Muslim Phakir is worshiped by many Hindus today.
As your Holy places are only opend to muslims the hindus are not going there i think if they open it to every one with in no time they will be flooded by hindus who believe in Ram, Shiv and allah also.
Now your have lost Sai baba to Hindus and Moharram is attended by many Hindus in Andhra. The day is not far that even Allah will also become one of the Hindu God.
for us we already have 3 Crores of Gods and one more or few more may not be difficult to accept what will happen to you if Hindus starts worshipping Allah with Kakad Aarthi.