How do I get my wife to admit when she is wrong?

I love my wife very much, and like myself she grew up in a dysfunctional home. Her father was an abusive alcoholic. She was never physically abused herself but was subjected to regular verbal abuse and humiliation from her father. Her mother, the caring enabler, is still with him to this day, despite having had her nose broken several times, etc. (my wife having witnessed such acts). Today he is no longer violent towards anyone in the family, but the psychological damage has been done.

My wife as a child went the opposite route of her mother and took her father on head first at every opportunity, refusing to ever submit to him. She left home early and put herself through college, where we met, fell in love, got married, and started a family.

The problem I have now is that my wife revels in conflict and opposition, to the point that it can be a strain on our relationship. She can be very accusatory and won't admit fault, and almost never apologizes. She either points the finger at me or tries to act nice when she thinks she is wrong. Worst case scenario gets a non apology .

I revel in her strength but her contrarian nature drives me crazy! Worst yet sometimes I see my wife's inability to admit mistakes or make apologies rub off on my daughter.

I don't think I could take living in a house where I'm surrounded by women who are incapable of being wrong.

Does anyone have any experience with this and have they found any way to break through the emotional barriers? Thank you