Not necessarily. Children don't choose to believe in Santa, they're told he exists and they believe their parents. They don't think 'shall I believe my parents or not?', they just believe them, because they're kids and kids believe what their parents say. So children born into a strictly religious family believe because they've been told god exists.I think an important question is why people decide this is the right thing to do and how they get to the point where they even consider it in the first place.
Religion, Islam or Christianity etc. aren't inherent beliefs, people chose to believe them, there maybe an inherent desire to believe but you still make the choice, religion comes second.