People outside of college can and absolutely should have access to safe spaces, yes. Why wouldn't/shouldn't they?
As for your second question, it's so obviously disconnected from what has been said so far that it's hardly worth even answering. A victim of homophobic intimidation who wants a space free of homophobic intimidation is not "reducing their ability to deal with the world they live in." You're stringing right-wing jargon terms together in ways that obviously don't make sense. A person doesn't have any less of a "curious mind" simply because they want to spend time in a place free of intimidation, violence, or hostility.
What are these safe spaces? Houses, then what is a dorm, police stations, then what is campus police offices, or a car, which is available to most students on campus.
What is intimidation in your example? You are projecting a generalized concept that does not have a defined impact on a person. Is it intimidation if someone posts a comment on a website that they are for male/female marriage only, a person yells out a slur on the street, a person walks up to another and says: "We do not like your kind here?" The last item on this list should be the one that a state agency involves itself in as it is the only where physical harm can occur. The others are simply words.
As an aside, in future discussions, try not to resort to simplistic arguments like "right-wing jargon terms" to dismiss an alternative view point. I was worried for a moment you may have a point until I read that.
As for your second question, it's so obviously disconnected from what has been said so far that it's hardly worth even answering. A victim of homophobic intimidation who wants a space free of homophobic intimidation is not "reducing their ability to deal with the world they live in." You're stringing right-wing jargon terms together in ways that obviously don't make sense. A person doesn't have any less of a "curious mind" simply because they want to spend time in a place free of intimidation, violence, or hostility.