idiocratic · adjective1
From idiocrasy + -cratic, as with other -crasy + -cratic adjectives (e.g., idiosyncratic).
idiocratic · adjective2
From idiocracy + -cratic, as with other -ocracy + -cratic adjectives (e.g., plutocratic, kleptocratic, autocratic).
Etymology from Wiktionary, CC BY-SA 4.0.