According to the bible God don't want this at all. The body of Christ should not be cut into separate pieces and those pieces should not claim that they are what is called Christianity or better then the others. The problem is that many denominations, like Catholics, think they are the whole body and those that are not Catholics are not party of Christianity at all.
The difference here, is that I guess non-denominational consider them self to be part of all of Christianity, but just don't want to separate the body of Christ by making them self a denomination.
It would be great if all Christians could just be happy with being called a Christian and be one with all the brothers and sisters, but that's not the way it is, and sadly I guess this will be the fall from the faith in the end, that gives room for the Anti-Christ. There is just getting more and more churches and ministerys and all the Christians are getting further and further away from each others.