I dunno. As an American "Jamesovich" and "Jamesovna" sound totally weird. I would 86 the idea.
I have experience with weird. When my wife and I married, we took a family name (Chaika) which we tell everyone. But we really have hyphenated names of which Chaika is only a part and our birth names are the other part, that we don't use except for OFFICIAL docs like title deeds, investments. So our two surnames are different, but hyphenated. Our kids have the hyphenated variant of my name. I only hope the kids do not marry other hyphenated people - what would their kids' names be? =:^0