I attend a Family Integrated Church and it is, by a huge margin, the healthiest church I've ever been involved with.
The leadership does an excellent job of encouraging and helping train men to be servant leaders in their homes, which is an area I think tends to be extremely weak in most churches. In my experience, many churches are geared towards/run by women to the exclusion of men and their unique calling and needs.
As far as child-rearing "methods", etc, our view is "in Christian essentials, unity, in non-essentials, charity." I would say that we definitely encourage christian private school or homeschooling over government schooling, but it's not a requirement and someone who had their children in PS would not feel "called out" or admonished. We trust each family to do as they feel led.
I know of one mom that likes the Pearls' methods and others that really dislike them; some families are big on vaccines, some don't vax -- there is a wide range but our general view towards God's intention for families connects us in a way that those other issues cannot divide.
I will say, by a large majority, the congregation leans "crunchy conservative" -- politically aware and involved, proponents of extended BF, organic food, naturopathy, homebirths, opposed to abortifacient birth control, etc. Those things are not tenets of the church, just conclusions most of us have come to through our own relationships with God. Those things are not discussed in the service, but only found out by getting to know each other.
If you don't like the first FIC you visit you may want to try another -- culturally they can vary, although you'll find certain commonalities between them.
HTH!!