Even putting aside for a moment the offensive characterization Christian conservatives, this statement is still nonsense.
Weiner's constituency does NOT include significant numbers of Christian conservatives.
Therefore, their disapproval would not be enough to put him in such political trouble.
The reason for Wiener's political troubles has to lie elsewhere then, doesn't it?
More than you think. Some of his colleagues from NYC won reelection in 2010 with better than 90% of the vote. He got 60%.
Part of the reason is that his district includes many conservative Irish and Italian Catholic voters.
A city council district that is largely contained within his Congressional district routinely sends one of the few pro-life GOP councilmen to the City Council.