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Firing people for their opinions is actually fine - if you believe that certain types of people don't deserve rights, for example, and your company has those types of people in it, that's a problem. Freedom of opinion is not guaranteed.
It's easy to keep abortions secret. They're protected by privacy laws, so even HR can't ask about them. Medical issues are secret from the workplace by default.
It's impossible to keep your sexuality secret if you're married. Your marital status at work is public by default. And no one should have to keep the identity of their spouse secret for fear of being treated worse by the CEO.