Judge not....
I don't think that means we can't have opinions of each other.
"This man beat his wife. This is a bad man."
IMO, a judgement would be more along the lines of this man deserves to be beaten, or this man will go to hell, not just the opinion that he is not good.
Basically, I'm
saying typing that what you have listed in the OP are not judgements, but just observations or at most opinions. Opinion can be synonymous with judgement by some definitions but when we are called to not judge, I don't think it means to not have opinions, I think it means to not assign the punishment.
The injunction not to judge others is a simple-minded notion. This is not the way life works.
It may not be the way that life works, but that doesn't mean it can't be something that we
shouldn't do.
why is the judgment of others always thought of in a negative sense?
The Christian answer is that it should be left up to God. A more practical answer might be that we can't know what the 'punishment' should be because we don't have all the circumstances nor the know-how to asign one.