For one, while the Irish faced discrimination, it was significantly less than that of non-Europeans. More importantly though, how does this have any bearing on why the question is relevant today? Are you somehow under the impression that the Irish are currently subject to extensive prejudice, or that no racialized group is?
If your ancestors came to America and were Irish, they faced discrimination just as much as other groups, if not more than most, even if they had a similar color tone as other Europeans.