@maxdancona,
If you need a divorce in the future (and obviously this is not always the best thing), you should know that in many places fathers can get equal custody of their children. If you choose to go this route, it is important that you act responsibly... and are seen to act responsibly... since a judge will decide about custody. You can talk to a lawyer about this.
I had a similar situation; my ex-wife was far stricter than I. I now have 50% custody of my daughter. It turned out to be the best situation for all three of us.
My ex-wife and I have learned to co-operate on most things now that we are divorced... but the things we don't agree about are resolved by the parenting agreement. When my daughter is with mom, she follows mom's rules. When she is with dad, she follows dad's rules. For us, this has worked pretty well.