I never looked Lindsey Graham up. I may not have a free browser to do that at the moment.
But, if Lindsey Graham has an endorsement from any GLSEN related groups, then Graham is a lib. There is a contract that has to be signed to get those endorsements with terms and conditions. I have copies of the process.
I talked with the former GOP chair about Lindsey just last week and while complaining about him, she said he has a 93% (or thereabouts) rating as a conservative.
So while he talks like a lib, he must vote more like a conservative than I gave him credit for.