Well turn the question around, have the Poles in the U.K. effected the U.K. culture?
Will Brits be naming their kids after Polish names? Are the Brits going to church more?
I doubt it, although I can never be too sure, after all people usually prefer to go to church with other people.
I think the only thing that will really change and you surprisingly left it out, is that the work experience they bring back will hopefully change business practices here in Poland.
It would be illegal for Polish parents to name their son Colin or Sean, or their daughter Vanessa (especially with that illegal letter!)
I don't know if it was the case but it certainly isn't any more.
There are however quite a few British people with Irish names
Such a large portion of Brits are of Irish descent, mainly due to emigration from Ireland, that a healthy percentage of Brits have some good in them;p