Question

In the movie Thirteen days, how quickly could that quarantine on cuba have turned into war

Answer 1

Any quarantine of a sovereign state can turn into war fairly quickly, especially when the country in question has deep alliances with other, perhaps more powerful, countries.
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Answer 2

Any quarantine of a sovereign state can turn into war fairly quickly, especially when the country in question has deep alliances with other, perhaps more powerful, countries. 

Explanation:
If the Union of Soviet Socialist Republics had nonappointive to run the quarantine/blockade, the US would have laid-off on Soviet ships. this could are an act of war, and therefore the state would have had no selection however to reply. this could have dragged in each sides' allies, triggering a replacement warfare. And an increase to a nuclear exchange would virtually actually have occurred, as whichever aspect was losing in a very typical war would have had very little selection, however, use nukes or surrender.