no one cares. Right wingers try to make this pronoun stuff seem more important than it is. If you're keen that people know your pronouns- mention them. They are not gonna indicate anything about your political leanings or your class status or anything. If you don't mention them, people are not gonna think you're bigoted, they're not gonna think anything at all. they will think you're awful if you fail to behave like a decent person and insist on addressing people with their gender assigned at birth instead of their stated preferred pronouns.
No one reads your CV that carefully to notice whether or not pronouns are mentioned/ not mentioned. recruiters usually are looking for whether you've got experience and education and can demonstrate required skills.