No special knowledge here, but church going and prayers are a big plus in many cases and her lawyers will make her look a saint and make you look a risk.
Hire a lawyer to enforce 50/50 visitation rights, keep the narrative of putting the child and mother first and keep looking reasonable. Document the time and activity you have and do with your child. If she violates the agreement, serve her. Communication by lawyer only. Be patient- give your child quality experience and education and let her mother, mother the way she does. The child will choose you as the main carer, when they are older. Never speak badly of the mother in front of the child. The mother will appear unreasonable and unkind - document everything negative she tells your child about you. This will all help if you then move to the next step of full custody.

Go for it! Your daughter deserves the better life.

Did you ever thing your ex wife might be doing more at home then you give her credit for doing?
Did you ever stop to think that your ex wife might be suffering from depression? Your daughter is not void of emotions. She will worry about her mother and miss her mother. Activities and distractions are not a substitute for her mother.
You haven't said one flattering comment about your ex wife. You did say some flattering things about yourself. You bought her a house. Well she gave you a baby. You don't hear her reminding you of that ever chance she gets do you?
Showing respect towards your daughter mother will prove more beneficial in your daughters life then a day at the library.
I suggest going back to the drawing board and start co parenting in a more humane way.
I don't mean to be disrespectful but merely present some hard truth.

Should we assume that the estrangement between you and your wife has something to do with the difference in your religious orientation? I would offer that you seek out a process called a "Circle of Trust" (http://www.couragerenewal.org/approach/) Also, <iframe width="100%" height="166" scrolling="no" frameborder="no" src="[w.soundcloud.com];

So long as you continue to focus on your child and the best interest of your child you will do the right thing. I i don't know how old your kid is but since you wrote that the separation began 2 years ago in guessing the kid is older than 3 years old. If the kid is 7 years old or older you can have an idea of how what has already has happened has been effecting him/her. Some kids are really effected by the back and forth and others kind of enjoy it. Each separation is different between separating spouses and each kid processes it a little differently depending on the relationship the child feels they have with each parent and how relevant they have been made to feel in the entire mix. I wish all involved the best outcome possible.

So long as you continue to focus on your child and the best interest of your child you will do the right thing. I i don't know how old your kid is but since you wrote that the separation began 2 years ago in guessing the kid is older than 3 years old. If the kid is 7 years old or older you can have an idea of how what has already has happened has been effecting him/her. Some kids are really effected by the back and forth and others kind of enjoy it. Each separation is different between separating spouses and each kid processes it a little differently depending on the relationship the child feels they have with each parent and how relevant they have been made to feel in the entire mix. I wish all involved the best outcome possible.

I think the best thing for a child is to have 50/50 time with both parents. (unless one parent is doing illegal drugs or putting the child in harm in anyway) And that is how the court sees it as well. Quite frankly what she does at her moms is none of your concern, you can only be a super dad and try to make up for while she is with you. I guarantee your soon to be ex thinks she is doing right by your daughter giving her a religious upbringing! In the future your daughter will have both options to choose from- whichever way comforts her more in her adult life. It doesn’t matter our opinions of our ex’s choices in life, it will only make you crazy & unhappy if you obsess over it! I’ve been divorced 8 years with 50/50 custody and it took me a long time to learn this lesson. Just be the best you can be when she is with you. Teach her, talk to her and love her to pieces.

Sorry you married a psycho

No. You type too much. I have full custody of mine and I didn’t do shit.