If science has taught us one thing, it's that almost always, what once looked like a solid theory, is found to be way more subtle and complex in a later stage.
In addition to this, it's almost impossible to prove something in physics. You can use deduction to support your theory, but you can't prove it in the same way that you can formulate a mathematical proof. That's why it's called a theory: because it's not a proven fact.
However, to make claims like "the universe will always be here, it has always been here, it cannot go away" because otherwise it would violate the first law of thermodynamics is just as bad. The second law of thermodynamics has been haunted by Maxwell's demon for at least a century, and although it does appear to be safe at this point, I wouldn't be surprised if all of this would be proven to be more complex in the future.
So, while you're correct for doubting the big bang theory for too much scientific faith, you might as well put a lot more doubt in other areas as well. A lot of physics is built around faith.
I would take issue with this, at least when speaking of "faith" as "a belief that is not based on proof". For example, the belief that a god created the world in 7 days is based on faith since there is no evidence to support your belief. On the other hand, belief in the big bang is supported by some evidence.
I meant faith as in, "I have faith in the economy". I think we all know that proofs are a central part of every field of science.
But history has shown that a lot of laws were discovered to be wrong (or incomplete) in the past. Things like the laws of gravity by Newton come to mind. People had a lot of faith in those laws, we're able to send rockets to the moon based on those calculations, but still Einstein managed to show that everything is a lot more complex with his theory of relativity.
I would really emphasize "incomplete" here. Newton's laws fully accounted for the phenomena they sought to account for, and gravity really does work like Newton said it would work on the level that Newton was talking about it. The idea that there were things under the surface giving rise to this phenomenon probably would not even have surprised Newton.
In addition to this, it's almost impossible to prove something in physics. You can use deduction to support your theory, but you can't prove it in the same way that you can formulate a mathematical proof. That's why it's called a theory: because it's not a proven fact.
However, to make claims like "the universe will always be here, it has always been here, it cannot go away" because otherwise it would violate the first law of thermodynamics is just as bad. The second law of thermodynamics has been haunted by Maxwell's demon for at least a century, and although it does appear to be safe at this point, I wouldn't be surprised if all of this would be proven to be more complex in the future.
So, while you're correct for doubting the big bang theory for too much scientific faith, you might as well put a lot more doubt in other areas as well. A lot of physics is built around faith.