Yes.
All faulty beliefs and behaviors will have at least some influence on all of us, just to varying degrees and manifested in different ways. The religious beliefs, ethical beliefs, scientific beliefs, political beliefs, our social behaviors, our individual mental and physical health, etc. are interwoven in our minds to form a network of beliefs, biases, values, opinions. Beliefs do not exist in a vacuum and are not isolated from each other. A person's religious views will not outright determine, but will still influence their views on other matters like their ethics, their politics, what information sources they use, what other biases they will then have. All of these then influence the rest of the mind's network as well.
The decisions we individuals make have impacts on each other externally as well. That is the price we pay for having to share a world with each other.
This psychologist explains the phenomenon much more clearly than I can:
Why Bad Beliefs Don’t Die