Oh, you're worried about divorce huh?
Same sex marriage divorce rates in the United States are actually decreasing even though the rate of same sex marriage is on the rise
www.danddfamilylaw.com
"in 2018 there 2,132,853 marriages and 782,038 divorces. "
"This is equal to a national divorce rate of about 2% of all marriages. According to a limited study done by UCLA School of Law Williams Institute in 2014, same sex divorce rates are actually slightly lower than for that of heterosexual couples (1-1.6% of same sex marriages)."
"The divorce rate among same sex couples may be driven by stressors that minorities face in general such as employment discrimination or unaccepting families of origin. These stressors can destabilize LGBTQ relationships."
Essentially they're saying that divorce can be helped along by other stresses. And some of those stresses are caused by people discriminating.
So, get rid of discrimination (I mean, why discriminate based on who someone fucks, that's BIZARRE).
And even then they have such issues, divorce rates are still lower.