That's really bizarre. Cops tend to keep their head on a swivel and walk a straight line with very efficient body movements. I kinda walk like a cop because I used to be a long distance hiker before I exploded my knees.
The autism gait is essentially the exact opposite, clumsy and uncoordinated body movements, typically unable to follow a straight line, and usually looking down at the ground at their destination. The pelvis is tilted incorrectly and there's a slight lean.
I think the only behavioral thing that might be in common would be having bent arms. Autistic people sometimes do T-Rex arms, where cops may keep their arms bent while jogging or power walking because they're accustomed to reaching for crap on their belt.