The real question is socially acceptable to whom? Are the people who would find it offensive or unacceptable people you want in your life? The drag community tends to be very accepting and inclusive.
If it is work or a professional image you are concerned about, it is highly likely you could easily remain under the radar at drag shows. The same people who would judge you for it are also the people who would likely never attend a show. And a pseudonym helps, too.
If this is something comfortable for you, then you deserve to be able to explore it. Ask yourself what you would be giving up if you didn't explore this and whether the people you would be giving it up for would be worth it for you. At the very least, for a little while you could claim that this first show was such fun that you agreed to return when others in the show asked you to (even if they didn't), and that your friends might have "created a monster." You can joke about it and continue to be involved in the drag scene for a while before deciding if it is something you want to pursue more.
Ultimately, I think you are too young to allow the opinions of others to hold you back. You have your whole life ahead of you. If you start adjusting your life according to the most judgemental people in your friend and family group now, then the rest of your life will be lived according to their standards and not yours.
