Jonas Dystopia is always just around the corner I'm afraid. It's up to every generation to maintain its hard won rights and freedoms.
There are some widely accepted restrictions already. Airline pilots and police (who carry guns in my country) must meet standards others don't have to. A Massachusetts state policeman recently lost a court case in which he insisted he should be allowed to grow a beard. That stuff is hardly dystopian. I'm not worried. Right now employers can't find enough workers. They are offering free lunches and stuff to draw people in, not forbidding people from doing things.
The real point I think is that people will accept some things, like drug tests, to get a job, and they do. But they won't accept others, like not being able to get themselves laid. In order for the situation you describe to come to fruition enough people will have to be desperate enough to get a job so companies will be able to find enough willing workers and I don't think that will ever happen if sex is involved.