The government's job is to protect property! Intellectual property included, which is where patents and copyrights must be enforced to maintain a free market. Intellectual property has to be protected from theft too. Can't just have innovative firms have their ideas stolen by crappy firms, otherwise there would be no market incentive to develop anything new and every firm would just copy off each other like they do in China.
Look, its simple. Everybody starts with the right to make whatever they want. You're proposing thorough, heavy government regulation of the industry so that the vast bulk of companies and individuals can NOT make things. That's a violation of minarchist ideals at every conceivable level, and a jarring blow against every principle of the free market. Heck, it's not even one of those situations where the government is stepping in to deal with some sort of major negative externality that the market can't handle. If people want research and innovation, people will support them them with their dollars.
"Protecting Property" is fine, but throwing people in jail for making something people want, WITHOUT taking something from someone else or violating anyone else's rights? That's absurd. That's not protecting property, that's delibrately distorting the market to benefit certain players for tasks you personally agree with. Saying "You are legally bound not to create, with your own sweat and effort, something that you want, know you want, and know something else wants, under threat of violence" just... doesn't work with minarchist principles. Everyone is entitled to property and the products of their work - but if you give those away, for free or with the sale of another object, without any contract governing it's use, that's your own problem, not the governments. No one is going to take away your right to make the product, or your right to make copies - as such, your property rights are protected. But you don't get to own things that exist in other people's heads unless you've got an explicit agreement with them saying so.