My DH does not view my FOO as his family now - he's told me so. He also finds it very strange that I consider his FOO my family now. None of this is an issue, because neither of us choose to make it one. We just see things differently, I'd be picking a fight if I tried to tell him he should be seeing my FOO as his now. Why bother? He's supportive of us and the kids having a relationship with them, he shows up to family functions, is pleasant and gets along with everyone, and he's been supportive of me using my time and energy to help during family stresses.
What "family" is can vary greatly from person to person, and one person's definition is may not fit with another and it's impossible to impose your definition on another person. Different is not wrong.