This sounds as if it's going to be a lofty and important game. The description on the website is a good column-foot long (see above), and reads as if it were lifted directly from a world history textbook. Sounds like the author did a lot of research. I'm not into historical games, but this sounded like too crazy of a concept not to at least see what it is. There's no way I'll have time to play this kind of deep historical "what if" scenario.
I needn't have worried. I'm presented with the situation of possible nukes in Cuba, and a menu of about five choices. "Nuke Russia" is one of them. I choose "Blockade Cuba". Game ends, and I'm berated for picking the most boring option. "Do Nothing" ends the game also, the nukes are never launched. The other aggressive options aren't much deeper than two clicks, and are pretty much "You get nuked back" with various US regions flattened and different countries emerging victorious…"Break out the tea and crumpets" is displayed when England remains as the only superpower. Is this meant as a joke game?
One of the pictures has a sideways page number on the edge, so I get the feeling this might have been a class assignment where someone lifted pictures and text from a book. None of the outcomes (or any of the original text in the game for that matter) goes into anything like thoughtful speculation or extensive detail about what might have really happened if history played out differently. It's just "CLICK Russia nukes you". This doesn't seem at all like it was meant as parody, unless you take an additional meta-step back and look at it as a humorous example of a highschooler's last minute "what do I submit for this history assignment due tomorrow that I have not done any work on yet??" type of thing.