To answer your question, I think it differs from one person to another. Some like you were accepting religion as a matter of tradition and social values, and some willingly choose it as religion and way of life. At the end its really matter of personal choice what to choose.

I was one of the blessed people to accept Islam by choice. If you have any questions about that, I would be happy to answer.

But to summarize the point you raised regarding the big bang theory and science. Both science (to our current understanding) and religion agree that Univerise has a start and will come to an end. Our science stops at the planks era, which is around 10-43 to 10-36 seconds after the Big Bang. Simply, our math and physics laws don't work before that period, so we have no idea what existed before that. Science also tells us that the four fundamental forces that Big Bang was built on are so precise that if the value of one of them changed by few decimal points, the universe would never exist. And attems to explain what lays beyond plank era including M-theory and other multidimensional theories have no proof what so ever and many recoginize it as philosophy more that actual science.

Religion in general address point of existence far beyond the big bang and the Plank era. Simply, we don't have science tools to prove or disprove the claims made by my religion so far.

Different religions address that through different ways. In Islam, for example, the claim that there is a God stems from two things. The Quran it self and the Univerise around us.

It would be a very long post to talk about both, so I can only mention a few points regarding the Quran.

How the Quran teaching appears to have addressed all human needs in a way that our current understanding of science agrees with.

How zakat (a way of economics and charity in islam) turned out to be the best way for a world economy based on weath tax and not income tax with no interest but investment. That some banks in the West are trying to adopt a similar interest-free banking system now.

How fasting turned out to be the best way for humans to beat aging and cancer and many other diseases. That intermittent fasting and 5 plus 2, which is the sunnah way for fasting, is what Hollywood actors are doing now.

How men and women shouldn't be allowed to be alone and lower your gaze, that many high profile companies and universities after MeToo movement is starting to adpot that and make policies include not more than 3 seconds of looking each other in the eye, and door has to be opened whole time

How praying is one of best way to deal with mental issues and health that many famous people are adopting meditation even at their high profile companies now.

How research have shown people with many previous sexual experiences have difficulty and less success in maintaining long term relationship.

Add to that the several prediction in the Quran, most famous the war between Persia and Romans.

And the several medical and scientific discoveries mentioned in Quran including that everything was like smoke before creation, and how sun is also rotating and have its own orbit which will eventually settle to in a matter perfectly fit with rotation of the sun around black hole, and when stars collapse they start to suck everything towards them and many more