That's what needs to be actually built, but it's not how human imagination works. To capture imagination, you make people watch this:
http://youtu.be/_yijcWsLda8?hd=1&t=9s
or this:
http://www.youtube.com/watch?v=e7DEw70LVWs
You need to touch the heart, connect with people's desires, emotions and dreams they already have. And be it or not, Star Trek, et al. is something that is closer to general audience than another rocket. I'm not saying "let's build the Enterprise", but we shouldn't ignore the popular culture vision of space, because it's mostly Hollywood, not NASA, who drive the dreams. Let's find a way to connect to that.
BTW., to remind everyone, the very first Space Shuttle was named "Enterprise" for a reason.