I would say yes, provided the believers actually think that whatever god or gods they believe in want them to perform certain actions and act certain ways. Sure, that could include good things as well as bad, but it gets people to act based on the commands of a specious authority which they are generally encouraged not to question rather than thinking about what actions they should take and determining them based on sound reason and logic. Even if the particular instruction happens to be a good one, it sets a bad precedent and could affect how they think and act in a bad way down the line.
With deists and anyone else who believes in gods but don't think they have been instructed in a specific manner, any harm is largely negligible as it will normally at most affect only the life of the believer in some minimal fashion and not significantly affect others. There's still potential for consequences, but I think it is far less.
^ Pretty much my view on this. That said, it's hard to distinguish belief in God/s from organised religions, which I have a more strongly negative opinion of. I voted "yes" in the poll.