Lawrence v. Texas was decided in 2003. Only two members remain from that Court--Justices Thomas and Breyer. Well, at least Breyer is on the Court for a few more days. Justice Kennedy wrote the majority opinion in Lawrence. At the end of the decision, Justice Kennedy assured everyone that striking down the ban on sodomy would not lead to striking down traditional marriage laws.
It does not involve whether the government must give formal recognition to any relationship that homosexual persons seek to enter.
In dissent, Justice Scalia called bullshit.