Sounds like it's different there.
For one thing, our police pretty much flat out refuse to get involved in labour disputes. Questions of illegal picketing etc are dealt with by way of court injunction, and the unions and management here usually abide by court orders.
Cops are designated an essential service, and cannot strike. The same goes for ambulance personnel and various others, but it wasn't always that way. We've had police strikes in Canada, back in the Seventies, I believe. Exactly what you might expect would happen, happened. Lawlessness, looting, etc. The only thing that controlled it was that we have the RCMP, a national police force, that stepped in, at least with the New Brunswick strike, and the Surete de Quebec, with the Montreal strike. No army got involved.
I'm of two minds about whether or not they should have the right. I can see the argument that their work is essential, but in a regime that allows unions and collective bargaining, it's hard to countenance removing the only effective tool that a union has.