The "fast gun artist" doing a demonstration for the police is likely FBI Agent Delf "Jelly" Bryce. Agent Bryce was an FBI instructor famous for how fast he could shoot and was recognizable by his distinctive shooting stance.
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This home movie from the Horak Family Collection captures a demonstration of shooting techniques at the firing range (now the El Paso Police Academy.) Later on, the range gets used for an alternate activity - a volleyball match.