With that said, I can tell that your response will be that that is my moral code and I am not a real conservative if I want to force it on others. The problem there is that literally every law consists in forcing a moral code on others who may disagree with it, and the concept of any law doing otherwise is an absurdity that is founded in the conceit of assuming that the prevailing morality of the society today is a representation of neutral reality and any departure from that is a moral opinion that seeks to be forced on to others. To genuinely believe this would be a baseless "I agree with the majority", the very antithesis of actually having beliefs and principles. Discarding that notion, if we suppose that forcing morals on others is not genuine conservatism, then the only ideology that could be considered compatible with genuine conservatism is anarchism.
Except
your (religious) moral code is not a neutral reality. And it's only socially conservative by extension not a priori. The counter morality to it, imparted as it is by broader social consent, has a stronger basis in neutrality.