Big city immigrants may have provided the votes, but the power belonged to native-born American leaders, largely of rural origin: Buchanan, Pierce, Cass, Douglas and their Southern counterparts (though Douglas's Southern-born second wife was Catholic and there was some speculation about whether he was as well). I always thought of "Doughface" as more of a native phenomenon, and don't really associate the term with Irish or Germans, whatever their politics or attitude towards slavery, probably because they didn't have much power in Congress yet.
Agreed.
Buchanan, Pierce etc., were certainly "doughfaces", a term implying overt political acquiescence, and as you note, probably not so appropriate for the big city immigrants who elected them.
Indeed, does that not remind us of modern Democrats?