There are literally thousands of regulations limiting what we can import into the US, from drugs to protected wildlife to cuban cigars, including total embargos

There are literally thousands of regulations limiting what we can import into the US, from drugs to protected wildlife to cuban cigars, including total embargos on particular companies and even countries. You're just cherry-picking of a few you want but don't see. And by the way, the US govt certainly pushes for free trade, but that actually means implementation on a bilateral country-by-country basis (a couple dozen countries or so by now). The public is certainly never going to go for unilateral free trade with anyone who wants to sell anything. I'm sure that's true for almost every country.