I don't know about that. Upper middle class suburbia is pretty red. When thumbing one's nose it's fairly distributed politically imo. Blue and red shop at both stores.
They won't be hurt by whatever the latest outrage on trans is....haven't followed. It's not like they have a single product consumed primarily by man who think they're hard.
To be honest it was nearly 20+ years ago when I spent enough time there back in my wannabe actor/responsible dad days and that was LA / Beverly Hills etc. when the US was less polarised. Hamptons and nicer parts of Louisiana is mostly all I've seen since those days.
Though TkMax does come to mind when I think Target? Maybe I've seen old Target stock in TK which is international and a good place to find very large sizes. I'm sure if they have a sale on there won't be a red not crossing the picket line.
Anyway, seems a fairly safe buy.