How do you know that science is not a believe like the other ? My answer is in challenge it with other believe systems to explain reality. Of course some things make a lot more sense with science methodology, but to be faire, te main point of religions is not to explain gravity.
I consider other believes as opportunities, no to explain to others, or to be taught by others, but making both and strengthen us all.
However, we shall to care do not confuse religions and believes. A lot of people took part in religions and do not believes, and others believes and do not took part in a dedicated community. This is a different topic. Communities are generally a good thing, but hierarchy lead to abuses. This true in every organization, religions include
In any demonstration, you have to make some unproven statement, taken as true. It could be "1+1 = 2" or "God exists". So sciences are methodologies based on believes. Lot of religions use logic and reasons, based on science and philosophy, to deduce things from their core believes. This is theology.
So if both science and religions are based on believes, and could have the same methods, how to distinguish one of the other ? We could argue that science try to reduce believes as possible. Personally I'm not good enough in sciences to argue with religious people, and demonstrate that point. In trying to challenge my believes in scientific models, I have to stay tolerant with religious people (I'm not sure I would otherwise); which is a most productive approach. Furthermore, it helps to have a critical point on view on science (as you've said, and to taking it as a blind faith)