Willing to support social liberals, yes, but many are hesitant to support candidates who make social issue an important part of their message. Obama was incredibly successful with this group, and he rarely brought up divisive social issues, particularly when talking to young people.
I believe he talked about gay rights and abortion more when he talked to young people than when he spoke to the elderly (which only makes sense, given each demo’s views on such matters), so I’m not sure you’re right about that.
There are a number of issues from prostitution to drug legalization to gay rights where the young are much more willing to vote for open radicalism than older voting blocs.