Here is the situation in the UK:

the Government instructed police forces to break up any picket lines that threatened to prevent tankers from leaving or entering fuel depots.
Emergency powers to order petrol rationing will come into force on Monday if the strike threatens to grow out of control.

http://www.timesonline.co.uk/tol/news/uk/article4132714.ece

As I recall, didn't PM Tony Blair do this with the military to the people a few years back?

They tend to be a lot tougher on strikers here than on the continent - although they don't exactly beat them up, the military are used extensively to move supplies and the police to hold back picket lines - I doubt the tanker drivers have much sympathy, according to the BBC anyway - they earn too much.
The lorry drivers are a different matter.