In recent history, our government has already been shut down (though in a somewhat different way)... twice.
It was the first time that a Canadian government had been toppled by a straight motion of non-confidence proposed by the opposition. As a result, Parliament was dissolved and a general election was scheduled for January 23, 2006.
Hilariously enough, the cited reason seems to be
the Liberals had lost NDP support in the house by refusing to accept an NDP plan to prevent health care privatization
(and then Harper swooped in to dissolve the government and trigger a new election).
The government was dissolved once more in 2011, by the same mechanism.
The 40th Canadian Parliament was dissolved in March 2011, after his government failed a no-confidence vote on the issue of the Cabinet being in contempt of parliament.