Woodlawn is about as Irish as you can get.
Bayside as well. Travel around Bayside, it's Trump country.
Not because it's Irish though. Woodland is as democratic as you can get, and the republican there are probably Italians.
What? No. Woodlawn Heights (the Irish area of Woodlawn) is very Republican, the most Republican neighborhood in the Bronx (doesn't sound like it's saying much, but there are a few pockets of Republicanism even there), and has been for quite some time. On the other hand, most recent Irish immigrants there are not citizens and not eligible to vote, so you're talking more longer-term residents. The Italian presence in Woodlawn is minimal.
Agreed that Bayside is irrelevant to the discussion. It's not an Irish neighborhood. Woodlawn Heights is the only neighborhood in NYC that can validly be described as "Irish".