Yes and no. Sound like we walked fairly similar paths (also working towards my PhD and people have completely 180'd their opinions on me as a result). I don't think I'll ever be able to relate to normies but I think that works to your advantage.
What kind of PhD you working on? Something you find yourself quiet passionate about? I'm doing spider ecology with a blend of taxonomy (it's been my passion since childhood) and being super passionate about something normies don't get or understand is like crack for normies. They keep inviting me to do educational and social things (on bad days I feel like they want me to dance for them like some kind of clown, but the more and more I do it, the more and more fun I'm having) and it's building my confidence up nicely. If you feel like you have the spare energy, talk to some local volunteer groups related (even loosely) to your PhD topic and throw some educational volunteer work under your belt. It's true that we may never be able to relate to normies, but when you swim in the same waters as them enough, you'll notice that relating to them isn't the only way to interface with them. Some of them truly appreciate us oddities for what we are and want to hear what we have to say.
Don't sell yourself short eh? You made it to the PhD phase, normie or not, you've got the skills, now you just have to show them off a little!