Accents are a core part of tribalism, to distinguish friend from foe, but we Irish are an Island, so we have allowed for a mix of accents we know, we can take the difference out on the battle field of the hurling or football field, that's how it works, in other words a healthy nation.If people are concerned with accents then we've lost already. Ultimately whilst differing accents are (or were) a great marker of the unique Irish identity its the belief of Ireland and Irishness as a separate ethnicity and culture that matters. We can't blame people for being brought up and immersed in American culture, the fact that they recognise this and wish to return to a true Irish identity is what matters.
I know plenty of heavily accented people, dyed in the wool boggers who are globohomo to the core. I also remember from my school days the prejudice of the rural folks over accents and the limit of these guys patriotism was the Irish football team or their local GAA club.