I'm considering taking my daughter out of school behind her mom's back
What is your intention with your daughter?
I have plans to move overseas with my daughter.
Without a court order, a father alone cannot legally keep the child away from the mother. You should talk to the mother and come to an understanding about the child's upbringing.
I told her about it. She wanted to keep fucking with me for more money and get her alimony increased, she thinks just because I have to pay her. I will never talk to her about custody again.
What you're thinking about doing is a crime, and you really shouldn't follow through with it. It's important to agree with you're ex on issues about your daughter. If you just run off with her you'll be looking over your shoulder forever.