I said 'a strain in left-wing thought views the "traditional family" with extreme suspicion.' I didn't say "the majority of Democrats". The polls in question demonstrate that Democrats (though only the white ones) are proportionally more likely than Republicans to make statements in tension with a desire for 2-parent households. OP asked for hard data to back up the hypothesis that Republicans are stronger in their political commitments to 2-parent households than Democrats, and I tried to produce something like that. If you have more compelling data that points in the opposite direction, by all means post it.