“Rebbes are by far the most vital of all you listed.”
With the advent and rise of the beis yackov movement, which has the full support of the gedolim of the last almost 90 years, I have to disagree with you. chinuch habanos is just as important. you cant write off the chinuch of 50% of the children, or consign them to underqualified, underpaid, overworked moros.