"Cleaved" is good, except that it can have two meanings, yes?

I wondered about something like "unified"....or "united" maybe. Then the union could be called just that - a union. Except, there's the labour connotation to the word "union."

What about an entirely new word? Something like "homarrige" - combining "homosexual" and "marriage," sounding close to "homage" which is nice....