urquhart,
With all due respect, your information is misleading. Let me try to address a few:
You say that the Orthodox split, among other things, because of “changes the Catholics made to the Nicene Creed”. This is misleading because there’s really only item (the filioque) that is disputed, and most scholars will admit that this is really a question of semantics. It’s certainly no grounds on which to remain separate.
Nor is it proper to speak of “innovations”, unless you specify that these are not doctrinal (in which case, they ought not to be an issue). Doctrine is not the product of innovation; it is the product of development.
You wrote: “But you wouldn’t be allowed to recieve communion, and if you wanted to convert, you would have to go through instruction, then be re-baptized and re-confirmed.”
One is only baptized once. As long as a Trinitarian formula is used (and the correct matter, water) the baptism is valid—which is why we don’t re-baptise Protestants when they convert if they have been baptized correctly. If the Orthodox require re-baptism, then they are committing heresy. However, I doubt your information is accurate.
You wrote: “But we have Catholics who do it exactly the same way the Orthodox do - they are called Eastern Rite Catholics.”
Eastern Rite Catholics do not do their liturgy “exactly” as the Orthodox do—there are variations that reflect the different traditions (small “t”) and cultures represented.