Before Gwen it makes some kind of juvenile, prideful sense. His family and friends were in danger... but he was there to save them. He always had, He always would. Good guys win, bad guys lose... that's the way it works.
After Gwen?? That should have been the wakeup call. The threats were real... and he COULD fail them.
On one hand, I would point out that the X-men do exactly that. They track down other mutants, bring them to their giant house full of mutants, live, date, eat with other mutants and every other weekday they go fight other mutants... There is very little outside, normal humans being put in danger from X-men's social lives. The Supers are all their own little community with little normal people around them. Soooooo it CAN be done.
On the other Hand... I would also point out that I think that's what's WRONG with the X-men and why I think they're quality has plummeted the last couple decades.
Nahhhh... not the way it works. A killer Robot smashes into a classroom looking for spider-man... and not one single parent would ever be glad that at least Spider-man was there to save some of them...
HONESTLY, The idea of Parker having ANY social life was one of those suspension of Disbelief things in the first place. Between School, Work, Studying, improving his gear, patrolling the streets and protecting the city, and occasionally sleeping.... Parker never would have had TIME to hang out with friends, go on dates, or chill in front of the TV. It's actually EASIER to believe that Pete takes his all work no play mentality to the next level and his friends go weeks or months without ever seeing him.
Heck, that's pretty much the Ultimate Spider-man cartoon the last couple seasons... O.o
All Supers, all the time.