Same Sex Marriage Customs

I don't think I entirely see the difference between your marriage and anyone else's though!

Marriage is at its core an affirmation of love between two parties, and a promise that they'll be faithful to each other until the very end.
Tradition is just for decor, the heart of the ceremony will always be something that you decide.

My answer to the question you posited is what I just said, and I was raised roman catholic, and then told by my priest to never come back when he found out that I liked the D.

The rings are a symbol, tradition shouldn't matter because they're supposed to be about the couple.
People always buy something that they like, something that feels right for them, you're over-thinking it.

But the "meaning" or the "speaks to you" part of marriage/wedding is deeply ingrained in tradition.
Why do we assign such importance to the ceremony, the white dress, the tuxedo, the rings, and all the other traditions of weddings? Precisely because they are tradition.
Some people don't care, and don't bother with a ceremony at all. "Common Law" marriage is good enough for them. (In Hebrew we call that state "Publicly known" - meaning "everybody knows (that these two are together)")
Some people care but rebel, having a ceremony that is explicitely non-traditional - but still, what makes their ceremony meaningful to them is precisely its rebellion against tradition. If there had been no tradition of e.g. tuxedo, then marrying in a tracksuit wouldn't be a statement.
And most people follow tradition because it has been ingrained into them that that is the best way to express that eternal commitment and love.

We could also tie this in to the discussion of why gays want to get married at all, if a "domestic partnership" gives the same legal rights and obligations. The answer, generally, is "because our feeling are the same as hetero couples', and we want to express them publicly in the same way." In other words, they want to follow the tradition as closely as possible.

To get back to the issue of rings.
Traditionally, up until the 20th century, only women wore wedding rings, so the question of identical or matching rings never came up.
Inasmuch as I have "absorbed years of tradition", as Eos puts it, I always kind of assumed that wedding rings tend to be wedding bands, plain enough to be worn by both men and women (with allowance for size).