yep. you can wittle down anyone's overall belief/philosophical system into two camps: platonism/neo-platonism and formalism (what OP calls neo-Aristotelian). i studied a lot in the philosophy of mathematics when i did my degree in mathematics, and these are the two main opposing philosophical theories in the philosophy of mathematics. i never thought to generalize these theories to society and whats going on in the world, but it makes a lot of fucking sense somehow.

i have always been, and will always be, a platonist.