Now let's say you clock in to your job as Attorney General and you make it known that you think Christianity is the best and other religions are sad and misguided. Then we have a problem.
You have rights as an individual and you have official duties acting as the government but the government does not also receive your rights by proxy.
That the government was "just expressing their opinion that's totally nonbinding except of course I can exert selective regulatory scrutiny if I feel like it" is not a get-out-of-jail-free card.
"Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances."
When a person who works for the government is acting in their official capacity, they are the government. In that case the 1st Amendment prohibits them from abridging a private citizen's freedom of speech.
When that same person is acting as a private citizen, they are protected from their speech being abridged by the government.
People at work in their government jobs, using government equipment and email addresses, with government signatures are 100% the government, not private citizens.