Well, AskHistorians, before I get too excited about this video currently moving up /r/videos, tell me if it's actually Roman techniques. I don't care that it looks choreographed; I just want someone who knows what they're talking about to tell me if I'm looking at something historically accurate and, if so, to explain some of the maneuvers and whatnot to me.
https://www.youtube.com/watch?v=uREJILOby-c
EDIT: Here's the link to the /r/videos thread:
http://www.reddit.com/r/videos/comments/1w4gm5/riot_squad_using_ancient_roman_techniques/
It has grounding in the Roman Republic's manipular, or Polybian, legion. You can see the police forming blocks, which would be similar to Ancient Roman maniples I suppose, and you can see the maniples maneuver between each other much like the maniples of a legion in the triplex acies would. The spreading out of the police is not something the Romans would do, regularly at least. Roman legionaries would remain shoulder-to-shoulder with their shields, their scutum, held like that. And the soldiers most certainly would not be running around through the ranks like the police do.
But the foundation is there.