This really turned me off, actually. All of the previous "Enterprises" were military ships, save for the Shuttle, which was named Enterprise by request. It seems to cheapen the legacy somewhat for a private enterprise (pun not really intended) to christen a ship Enterprise, when it's not really going anywhere or doing anything new, other than providing entertainment for the wealthy and powerful.
Actually it is doing (going to do) something very new.
Enabling private persons to go into space on a private carrier is unprecedented.
there is very much the possibility that it'll popularise manned space-travel once again, as it now becomes in reach of people who have the "modest" sum of $200.000 available -a whole lot less than what the Russians ask!.
If succesfull, and there's little reason to assume it won't be, it isn't a big leap to expect the jet-set demanding a bigger thrill, i.e. longer flights, higher flights, longer stays... Think rudimentary space-hotels.
So in time, the name "enterprise" may most definately be very aptly chosen.
And remember, civilian airtravel was once beyond the common man-women too, due to being far too expensive.