I am sympathetic to this argument, but there are some responses to it. It's up to you to decide whether these responses are valid.

One response is that people need a way to pick between many religions and they don't have one. Take just two religions - Islam and Christianity. A standard view of Islam says you have to worship Allah as the only god. If you worship anyone but Allah, you have a low chance of being saved. On the other hand, a standard view of Christianity says you have to accept Jesus Christ as your Lord and Savior to be saved. It might not be impossible to be saved in both Islam and Christianity but it's at least quite difficult. Now when you add in all the religions throughout the world and throughout history, how are you to know which religion will lead to your salvation?

Another response is if a person does not believe, there's no choice that person can make to cause the person to believe. Presumably, the belief we are talking about is something at a person's core. There's a lot a person can fake, but can a person fake the feelings at the core?