That bill doesn’t make it illegal for transgender people to have a job in government or government adjacent. It merely prohibits them from requiring (with the force of law) other people to acknowledge their sexual identity.
No doubt it makes it difficult for some transgender people – namely those who are unable to function if people don’t acknowledge them – to hold some jobs, though, but it doesn’t forbid it as you imply.
This is essentially a pro freedom of speech legislation. To compare this with the Russians raiding gay bars and making “gay propaganda” illegal is preposterous.