Here's what rhymes with wrongheaded.

Consider these alternatives

shortsighted / decided misguided / decided idiotic / logic simplistic / characteristic counterintuitive / intuitive hypocritical / critical counterproductive / productive illogical / logical antithetical / theoretical unwise / size hilariously / variously myopic / logic crass / as implausible / plausible oversimplified / side misconceived / received idealization / relation impractical / practical anachronistic / characteristic