As I said earlier, rights that are based on exclusion will lose out to rights based on inclusion. Your imposition based on the right to exclusivity is trumped when in direct opposition of imposition based on the right to inclusiveness.
The semantic argument is required, since it comes down to the definition of a word to those that wish to exclude, after all. Much in the same way the nuclear family isn't the "traditional" form of a family in human history, heterosexual monogamous marriage isn't really the "traditional" form of marriage.
When Bush wanted to ban gay marriage:
https://www.aaanet.org/issues/policy-advocacy/Statement-on-Marriage-and-the-family.cfm
Even in the US history, the idea of marriage has changed. Think a 1950's marriage is the same as a 2010's marriage?
https://users.rcn.com/bendesky/about/cbta/50swoman.html
Correct me if I'm wrong, but there are only four key arguments for the exclusive side: I don't like it, morally wrong, no kids/bad family structure, not traditional.
Traditional marriage is impossible to truly define, and certainly not universal in any way, since there is a bevy of research on what marriage has meant to humans across time, so that's not a valid argument. The foundation of marriage is not exclusive to sex and child rearing, since child bearing and rearing occur outside of marriage, and marriage occurs outside of sex and child bearing and rearing, making the child angel flimsy at best. Is the belief that banning two people from having the same legal (and not same but separate) status as two other people less of a moral? Do morals have a ranking scale? If not, than morals cancel each other out.
That leaves that you just don't like it. Not going to win much with that as your only strong argument.
Here's kind of an interesting read on reaction to the Supreme Court case.
https://www.psychologytoday.com/blog/what-makes-us-human/201303/ask-anthropologist-about-marriage