My Family Does Not Approve Of My Fiancé`

I have been dating my fiancé` for five (yes five) years and we have been engaged for three of those years. I took her to spend Xmas with my family last year and my family did not approve of the way that she acted. Personally I did not see that big of a deal. She is a preschool teacher (as is my mother) and was on vacation from work. She spent a good amount of time relaxing and my family thought that she was avoiding them. She has a son and I would wake up with him in the morning so that she could sleep in. In doing this my parents think that she didn’t want to take care of her son. They told me that I need to call the off wedding and cut her out of my life. My parents also told me that if I continue to spend my life with her that they will not be able to have a close relationship with me. My fiancé` is getting impatient and I want everyone to happy. I`m sorry that this is so long winded, but does anyone have any advice for me? I am very frustrated. Any insight is welcomed. Thank you.