Some of these are terrible and I'm lucky I don't have an awful MIL - just an uninterested one.
When DH and I bought our first house, MIL told me that she wasn't going to mediate her relationship with her son through me. She wanted to keep her relationship with her son independent, and so wouldn't be phoning the house... but would phone him at work etc (back in the days before mobiles). Fine I thought and took a back step and let them get on with it.
I did think that they would be more interested when we had kids, but no. When we had our first child a few years later, mil told me that as far as she was concerned her family ends with her son. I wasn't hurt that I wasn't included, but I was hurt that she didn't think of her granddaughter as her family.
So I very much let them get on with it, and DH is a typical bloke... so he has virtually no relationship with his parents. He never pops in to see them, despite the fact he used to work in the next village across and one of his routes home from work practically drives past their house! But apparently it's my fault, and I keep him away from them.
Ironically, mil still refuses to use the house phone, and will only call dh on his mobile. But that means that she has no relationship and no interest in her grandchildren at all. She was over (her annual Christmas visit) the other day and didn't ask my daughter any questions at all. Not where she's applied to uni, what she's going to study, or shown an interest in her new car that my daughter saved so much for... nothing. No interest at all.
My daughter notices, and as a result has no interest in having a relationship with her grandparents.... but this is still my fault. You really can't win!