Fun fact, the state that has had gay marriage the longest, Massachusetts, also has the lowest divorce rate per capita. No other state has gay couples that have been married 5 years in that state and want to divorce. And they're still the lowest.
Massachusetts has had the lowest divorce rate long before gay marriage was legalized.
I doubt you will find much difference if any in the divorce rate from legalizing gay marriage.
Well, what's more impressive is that they've kept it up when they were the only and then one of the few states with gay marriage.