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Adjective: right-thinking  'rIt,thingk-ing
  1. Disposed toward or having views based on what is right
    "respect for law which every right-thinking citizen ought to have";
    - right-minded
     
  2. [informal] Holding opinions or beliefs that are considered morally correct or socially acceptable by a particular group
    "The politician appealed to right-thinking citizens who shared his values"

See also: correct, right