I know that it's only customary to use patronymics in the former Soviet Union, but there are plenty of Slavic families that move to the US and keep the patronymic names in the family as a way of retaining their culture.
My wife is Russian and I'm American. As someone who is studying the Russian language and culture, I have to admit that I love the patronymic name. It actually means something (in America, we have middle names, which are basically useless).
Would it be acceptable for our kids to have my name as a patronymic? It would be "Jamesevich" and "Jamesovna".