Here's why:
* Stereotype: It likely originated from the stereotypical image of the "fiery Irish temperament", often portrayed in literature and popular culture. However, this stereotype is vastly oversimplified and doesn't accurately reflect the diverse nature of Irish people.
* No Historical Basis: There's no evidence of a historical Irish phrase or saying related to getting angry. The phrase seems to have been coined in English-speaking cultures to refer to an assumed Irish characteristic.
* Similar Phrases: Similar phrases like "to get your dander up" or "to get your back up" are more commonly used and accepted in English.
Therefore, while "to get your Irish up" is used colloquially, it's not a true idiom with a specific origin. It's more likely a product of outdated stereotypes and cultural misconceptions.