You wrote:
They all have their roots in the same movement, but how the Disciples of Christ have diverged! The Disciples church here in Eugene is liberal in the extreme. If you compare them to the non-instrumental, one cup communion, C of C you would not recognize them as having any common heritage.By the way, I consider the a capella churches of Christ (in all of their varieties), the Independent Christian churches/churches of Christ (in all of their varieties) and the Disciples of Christ (do they have any varieties?) as one family of churches.
We attend an independent Christian Church, which has no obligation to any other organization at all, although we participate with other like minded congregations in supporting missionaries and various colleges, etc.
We also cooperate with some of the local denominations, but some of them mostly keep to themselves.
We have many folks of various backgrounds from Calvinist to pentecostal. Most recently a newly retired Missionary Alliance pastor and his wife became members and we are considering him to become an elder. A few years back we had a temporary pastor for six months who was recently retired from the Nazarine church. Although our roots in the Restoration Movement are strong I think we are about as non-denominational as you can be. I can honestly say, having been in this congregation for 25 years, I can not recall one significant disagreement over doctrine.
Being non-denominational is hard if there are multiple congregations who hold similar views and cooperate at all. It seems you will get "denominated" whether you want to or not. To me, the big difference is in whether you are institutionalized, i.e. are under some hierarchy outside the local church.