there is no God but Allah and Muhammed (pbuh) is his prophet..amen
whatever is the name, allah or god or bhagwaan or any other name. but every one has his almost same perception about him/her(allah or god or bhagwaan ).
some people are tought Allah has created everything. they go with allah. some other people are tought Bhagwaan has created everything. they go with Bhagwaan.
from this it is clear that if we were not told anything about God, it may be possible that we would not think anything about God wether it exists or not.
so this god is nothing what the preception that is created by the society where we have grown.