Wow. It baffles me how someone can be both so indifferent and yet so passionate about that indifference, what with all the capital letters and whatnot.
You write as though “Non-Denominational” is not itself a denomination. That is not the case, so you too have made your choice. It is safe as milk and you want us all to join in your writhing mass of heresy and ridiculousness instead of sticking to our respective liturgies and traditions. I can’t see why anyone who is serious about their faith should do so. Communion is closed on the basis of doctrinal differences because such differences matter, because doctrine matters. To claim it doesn’t as many seem to be doing here is to spit in the face of the martyrs of the early church, the early church fathers, the councils, and really everything that makes Christian history and tradition important enough to continue the divisions that exist in world Christianity. Hundreds of thousands (millions?) have died in post-Chalcedonian conflicts, Muslim and other invasions, periods of Iconoclasm, etc. Are we going to say they died for nothing just because we want “unity”?
No. Or at least I’m not going to. I’m eternally grateful to those who came before me who were willing to fight so that today we can worship Jesus, the Christ, the Risen Lord and Savior of all, and do so with visual imagery, with appropriate hymnody, and (most importantly) an appropriate understanding of what an absolutely precious gift we have that others may not have. I refuse to cheapen this treasure by sharing it with everyone who says “Lord, Lord”. The devil and his minions also recognize the power of God. Heck, Satan tempted Jesus in the desert, remember?
We may all be part of God, but is a little simplistic to leave it at that. Some, having been created by Him, nonetheless use the free will He is has given them to reject Him by choosing to worship something else, sometimes even under the guise of Christianity. I want no part of that, and I want my Church to affirm that we are to have no part of that.