Dude was a typical punk - he was trying to provoke you, hoping you'd escalate so he can be a big man in public.

What I'd do for better or worse when dude gets in my face is is to mock him ("Bwyeeee BWYEEEE??? What is this, high school?"), tell the rest of the table "the rest of you, good luck," and immediately pivot and walk. Let little dude look like an idiot screaming to himself about kicking asses.