It has been overwhelmingly rejected by homosexuals as an actual practice in every country that allows it, and studies have shown that most such 'marriages' aren't even exclusive arrangements.
No homosexual relationship shares the reasons for government involvement in real marriage. No child is ever born as a direct result and no such relationship can provide a child with a father and mother. Homosexual 'marriage,' where legal, isn't even a basic building block of homosexual society, much less of society as a whole. There is no standardized format for homosexual 'marriages,' and no economically unequal genders are involved.
Why not forget about disenfranchising others in order for force your concocted, failed philosophy into law? Why not try a little live and let live?