If we pretend that the 14th was ratified, and we assume that it's current meaning is based upon its original intent and purpose, and I try to put the best spin on it ...
I'd say that the spirit of the 14th is that any citizen can move to any State and have certain rights, such as the right to own property there, the right to reside there, the right to protection and due process of the law ... I do not think that homosexual marriage is one of the privileges and immunities that the 14th was intended to regard ... and if NY legislates that they won't recognize/allow homosexual marriage, then that seems like due process to me. I do not believe that the State law in question would violate a conservative construction of the 14th.
On the other hand, the 14th passed because they said it passed, and it means whatever they fancy ... so sure, they might use the 14th to force homosexual marriage upon every State. That is what we're still talking about ... except in this new scenario homosexual couples would have to go to CA or MA and get married and then come to VA and we'd be forced to accept the marriage.
Some of these posts make me think of Jefferson's warning about how New Englanders "support principles which go directly to a change of the federal constitution, to sink the state governments, consolidate them into one, and to monarchize that". I think that pretty much sums up today's view of the 14th "Amendment".