My husband and I are both close to our parents, that was something we both accepted as part of the package when we agreed to marry but neither of us had issues with it.
My husband talks to his parents and both of his siblings frequently on the phone, they have a close knit family and that's one of the things I like about them. There's no drama with them. They however aren't overbearing and it doesn't cause any issues for us. His family doesn't live close, they all live in different states.
I'm just as close to my mom and siblings (my dad died) the only difference is they live closer. My family gets together for dinner for no reason, I have 2 brothers and both are married with kids. We have a dinner together with everyone once a month, sometimes we rotate houses it's at or sometimes we all just go out to eat. My mom actually lives WITH us and that was my husband's idea. She's getting older, she's a widow and not in super great health (my in-laws are, despite being slightly older) she has her own money and her house was paid off but the neighborhood was going down so we invited her to live with us and she sold her house. Basically while she lives in our house, she basically has her own apartment there. She has her own entrance (and you can get to it from inside our home too), bedroom a kitchen, etc. My husband works a lot so most of the household, kids, etc comes down to me and he likes that we have some additional help with her. She helps get out kids to/from appointments or wherever if I can't or when I cant be in 6 spots at the same time.
This works for us, but again we don't have any drama.