It is very unfortunate that your wife is holding onto a grudge, especially towards her parent-in-laws, which is not good and will affect her relationship with you as well. Whatever happened, and if they were right or wrong, both sides should think greater than that and focus on building good ties with each other.
Her demanding you to cut ties is also very unethical and haram as well, and you must not accomodate to that as well.
She must learn to forgive and forget, and respect elders, and forcing someone to cut ties with parents is gravely wrong and a major sin.
It is absolutely forbidden in Islam to cut ties with your parents and this sin is one of the most dangerous major sins which has disastrous results in this life and hereafter. Never listen to any one who tell you to be away from your parents because this is what Shaitan wants you to do in order to be with Shaitan against Allah and against your parents. Whatever your parents did or still do which you don't like, you must be very nice to them even if they were unbelievers.
1, Try to avoid any act or talk which instigates her anxiety or annoys her. You are her husband and supposed to be the closest human being to her so you should try your best to make her feel happy as much as you can.
2. If she has close persons like her mother, sisters, friend etc who might be able to talk to her to leave the idea of divorce, it should good to request them to do that.
3. If she feels that she needs counseling, try to help arranging good and constructive counseling to make her leave the idea of divorce by explains to her the negative side of divorce.
4. Recite Quranic supplications like RABBANA HABLANA MIN AZWAAJINA WA THURRUYATINA QURRATA A'YUN.
5. Repeat seeking help from Allah by praying :YA GHAFOURU YA WADOUD as many times as you want.
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