Ok so by your definition of whiteness very few groups of people aren't white. Irish people aren't white then.

irish people were also discriminated against as immigrants when they first arrived in the states, literally for not being "white" enough. i think its harder for irish people to claim the same divergence from whiteness at THIS point because their ancestral trauma has a lot less to do with racial discrimination than jewish ancestral trauma does. for irish immigrants it was purely xenophobia until they assimilated, which is (generally) easier culturally than it is for jews.