Miami, Oklahoma is named after the Miami Indians who were originally from the northeastern midwest. places in Ohio, Indiana, and Michigan are named after them because that’s where they’re from. places in western Missouri/eastern Kansas, or Oklahoma/northern Texas are named after them because they were relocated there

Miami, Florida is named after the unrelated Mayaimi Indians who lived near Lake Okeechobee. the city is at the mouth of the river that begins at the lake

so most places named Miami are not “imitations” of Miami, Florida, and in fact have no relation at all