Yes, Arwen - if she is a picture of the bride - will be much like any picture written of the Christ because the Bride is to be like Him. Tolkien would not put his symbol of Christ into such a little used character. Besides that, it's almost obvious that it's Aragorn that was written to be like Christ.
As I said last night when I wasn't thinking clearly, I had never seen Arwen as anything symbolic until you mentioned it. Although you got the mark off a little bit (in my opinion), you were close. She is much like a Christ like figure would be, except for the fact that she's not a man, she remains in the back ground, and she doesn't become King. However, she is pure, she leaves the others and does not follow the paths that seemed the best and the paths that most people took, but forsake all to go to Aragorn, and she gets married to him, too, when he becomes King.
So, yes, all those good things that I just mentioned are very much like what you see Jesus as. But the Bride of Christ is to be like him in whatever way she can. The Bride here on earth has to do with everyone who will forsake everything (including their own families) to be like Him and at the end of time, when he is declared King of all, go and be 'married' to him.
Does anything of this make sense? I'm sticking pages and pages, and hour and hours of thought, theology, and learning into less than a page's worth of something.
As for Tolkien not wanting to make his books allegorical (sp), then you have to consider it as God given and assume that Tolkien might not have understood everything he put into his books. I doubt that is the case because you really can't do so much without meaning to, but it is a possibility.
And...these are all very hastily written thoughts that are not entirely developed, so if you all disagree, say you do and why and maybe I could clear things up.
- Folwren