Red October in real life?

I once (and perhaps might do this) contemplated a timeline where a Kronshtadt or Stalingrad-class battlecruiser makes a break for the Atlantic, the full force of the Red Banner Fleet in tow (seemingly, actually in pursuit), and Britain's remaining fleet of capital ships and carriers are tasked with heading to battle stations and destroying the Soviet fleet and the battlecruiser, while the battlecruiser is in fact trying to defect.
 
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