Given the idea of a liberal democracy, where each individual is supposed to be free to pursue the kind of live that an individual sees worth living to the greatest extent possible given everyone else being equal.
Legal moralism will violate the being equal part of the law. In other words we are elevating the moral views of the anti-pork people above the moral views of the pork liking people. It looks to the point we would be treating the different groups moral values differently. This of course would be unacceptable from the point of view from the idea of our liberal democracy government and what is should be
about. What the legal moralist has to do is look for some kind of overlapping senses. They have to say well it is just not anything that anyone says is wrong can be the proper subject of the criminal law. That can be the basis of making something illegal. It has to be things that are generally agreed on, and that all the different groups are going to basically coverage on. That the groups can agree that those things are wrong and those are issues they can tackle with criminal law. Something that can be agreed upon across the board is something like murder. That any functioning society has to say it is wrong if not the society would not be able to function and it would decay from within. Everyone will agree that murder is wrong and therefor legal moralism can be used to make murder illegal. Issues that may come from this though from all the groups is the actual definition of murder. For example is murdering somebody because of say adultery wrong? Or killing somebody because they are from a different religious, or different ethnic group wrong? This example is to show that if laws are to be made from a legal moralist view then they need to be thought out and have an overlapping conscious of the arguable issue.