If I am being paid to do a job all I really care about while I’m working is doing the job. I might judge people for their failings and look down on them for being shitty, but I really don’t care because I’m just there to do the job I’m being paid to do. I might feel bad if people are talking shit and spreading rumors about me or whatever, but I don’t give a shit because I’m at work to work. If people are slacking off and not working when they should be, that is an issue for management to deal with. If people are spreading rumors and creating disruptions with gossip and drama, that is an issue for management to deal with. I care about doing the job I am paid to do, anything else going on at work is not my problem. I don’t think I’m actually that thick skinned or anything really, I’m just maintaining basic professionalism in what is supposed to be a professional environment.

To me it sounds like you have shitty management and shitty coworkers. You can try to be a catalyst for change in a more positive direction if you want but it might be better for you to find a more professional workplace. Also, I do think if dumb drama and gossip at work bothers you this much finding a job with fewer coworkers or a more independent role would probably be a better fit for you.