Hackerspaces generally have machine shops, but that's not all they are. They also have lounges, computer labs, biotech labs, kitchens, and whatever else their respective members are interested in.
I find it doubtful they'd charge you just to check the place out.
Definitely not! The place is open to visitors most every evening. Any of the events on the calendar are open-house events: http://atxhackerspace.org/wiki/Calendar
"Don't worry about people stealing your ideas. If your ideas are any good, you'll have to ram them down people's throats." -- Howard Aiken