Seeing how the educational system has been the trigger for anxiety and depression, I really am sympathetic to your view. Ask me a few years ago and I'd completely agree. I'd still agree with a lot of your points in essence, because I detest the ways exams and scores are exploited and the degree of coercion that occur within the system. Ideally, these should be non-issues. It's just that you shouldn't make absolute claims and solutions because, as Eriny pointed out, it is oversimplistic and invariably flawed. Try taking a pragmatic approach to things. I still upvoted though because this sort of introspection is probably what education is all about.
To pull an example out of my head, as soon as they removed discipline and hierarchy from the Russian army in WW I after the 1917 Revolution, their war offensive failed utterly.
Aside from the obvious fact that running a school isn't like running an army, there have been many instances where an Anarchist army has been extremely successful. One is in relation to Nestor Makhno and the Black Army's efforts in freeing Ukraine at around the Russian Revolution time and the other, at a slightly later period, is Orwell's testimonial that the Anarchists were the fiercest fighters in the Catalonia war effort. Not to mention that Anarchist units are almost always undersupplied. To tie it back in, I don't think uniforms are mandatory in formulating a community. After all, you can have a sense of belonging among friends even without dressing the same. (and yes I did pick your post out because I wasn't really interested in the education topic in the first place)