Yes, I should first study what tikun olam entails. Can you point to me a case where the gemarah applies tikun olam to something we need to make sure goyim do? Or to any sefer accepted by the Chareidi public that speaks about tikun olam? It’s something I always wondered about.
In a case where the anti0sodomy laws were even slightly enforced, I would be against repealing them as they might prove to be even a slight deterrent for a Yid suffering from this taivah. Every little bit helps. But in a case where there was a total non-enforcement of these laws, I would see no reason to not repeal them and a reason to repeal them: namely, as a bargaining chip to encourage those that want these laws repealed to work with me on more practical issues.