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I have no problem with cracker, because exactly as you say, it’s a reaction against institutional power, not an exercise of it.
But “Paddy” has a long history as a term of racist abuse against a deeply disenfranchised racial minority. I’m not sure if you’re even aware that it was widely used outside of the context of the phrase “Paddy wagon.” From the way you’re discussing this, it seems like you’re not.
If a black cop arrests you it’s not suddenly praxis to refer to him by racial slurs just because he’s a cop. Call him a pig or a narc or whatever anti-cop term you like, fucking go off, but excusing racism when it’s specifically against cops is just saying that it’s OK to be racist sometimes, and that’s not something I can remotely agree with.
You need to read up on the history of the Irish in the UK and how they were treated by the English very much as a distinct race, and one that they thought it was very much OK to abuse.
Here’s a quote from the Rev. Charles Kingsley, a Victorian theologian and defender of Darwinism;
Literally describing Irish people as subhuman. This attitude was wildly popular in England. Even in the eighties and nineties it was still common for occupation troops in Northern Ireland to refer to the Irish as “white n****rs”. This attitude, that the Irish are subhuman, justified horrific acts of racial violence that happened in my lifetime, and probably yours.
The Irish have been the targets of military occupation, police abuse, disenfranchisement and genocide, all on the basis of what the English very much considered to be their “race.”
Again, America is not the world. There are whole layers of complex interactions of identity happening out there beyond your borders.