The misconception that former British colonies bear some kind of grudge keeps arising.
We have the warmest relations with them and they remain in what was until recently called The British Commonwealth.

Iraq is a poor analogy to Ireland.
What we did was to annexe, by force of arms, a nearby piece of territory.
A better analogy was the seizure by the USA, by force of arms, of the territories of California, Texas and New Mexico.
Since you did that in 19th century, it ill behaves Americans to get on their moral high horse about what England did nearly a thousand years ago.