I'd suggest the opposite, actually. Not going full time means that you'll go half-assed on the startup.
A large number of famous startups have started this way--Facebook, Yahoo, Google, craigslist, eBay...
It is incredibly easy on the vast internet to work on things that may be interesting, different, unique, cool, but in the end don't attract a big enough audience to pay the bills and beyond. That's why I think it's dangerous to go full time until you have some site with significant traffic & growth rates.