The difference between a hackerspace and a workshop is huge. The key difference is the community, it doesn't belong to anybody so anything goes, it's like hippie commune meets workshop meets research lab minus the proposals and endless journal paper spewing. It's not so much about making the tools available (like techshop does), but more about building a group of engineers, tinkerers, and technodweebs to hang out with after work is over.
Yeah there's a weird maker movement thing that people are pushing along side it, but hackerspaces are a place to hack, a place to figure out why you keep getting that "the printer is on fire" message. A place to admonish the newbs who tell repost jokes from reddit. You can get a project done alot faster when the guy next to you working on the ARM based LED vest can email you instructions on how that quadrature encoder you found in the drawer in the back outputs grey code in 5 minutes instead of spending half a day online looking for just the right answer.
I'm super glad I found Crashspace in LA, it's like my in person version of slashdot, and I'm living the technodream :D