I can understand what you are feeling like. But then please understand there are thousand of new age Indians like me (incidentaly Hindu) who just do not care who they live with.
But the over governments are hell bent on making us divided. Look at the reservation issue, unnecessarily it has been made an issue between castes. So now i would be known by my case rather than an individual.
Also, when the government talk of muslim reservation. They also make sure that it is in opposition to hindus as such rather than doing something for muslim.
When we are deliberately made to think that we are Hindus rather than a normal Indian.
Only citizens like you and me can make this effort to bridge the gap.
I am sure that there are a lot of people like me who would help you in finding a house.