Mmhmm, I think a better question would be whether this will hurt his mayoral run.
Short answer: It's dead.
Longer answer: Despite being a liberal himself, Weiner's political position in NYC has always been fairly dependent on support from relatively conservative groups like the Russians and Orthodox Jews as well as in general older whites living in outer Brooklyn and Queens. Meanwhile, his chief rival for the mayoralty, Christine Quinn, has more backing from the white liberals, partially because she represents a lot of them and is from Manhattan while Weiner is from Queens. Now, the scandal probably hurts Weiner at least somewhat among the crunchy-granola crowd in inner Brooklyn and Manhattan (the misogyny perspective), but more importantly it crushes his support among the conservative outer-borough whites. And, other than that she's a lesbian, politically Quinn is a better fit ideologically for those voters anyway. Although, with Weiner clearly out of the picture, while Quinn is temporarily the frontrunner, I'm sure someone else will enter the race to challenge her. (Bill Thompson is a huge joke and totally incompetent and could not hope to win a primary.) The election is a long time from now, obviously.
Why would crunchy-granola crowd hate Weiner now just because of his Twitter picture? They are not religious conservatives you know.