I found the clip quite enjoyable, but to me it seemed to make fun neither of cricket nor of American views thereof. If it were really trying to make fun of American perspectives of cricket, I think it would have had to have been much closer to actual cricket, with somewhat subtler humor. This seemed to me to be more like a Monty Python skit, making fun of a) the English (as they so often did), and b) other sports, including hurling (neither English nor American) and American football (the kicked hoop, as in an American football 'kick off' or 'field goal'.
I can't really say what most Americans would think of cricket, since I saw my first day (and last alas, until it started showing up online something under a year ago) of (Test) cricket in 1967, and I had been instructed in the basics of the game for a week or two before that. But I can say this: first, most Americans have never seen an over of cricket. You never hear about it here (unless you already know where to look), and it's never on TV, and it basically never comes up at all in movies seen in America. I suspect that when an average American does see cricket, he or she thinks immediately thinks of baseball, and concludes that cricket is simply some variant thereof.
As for the question, is it overly complicated and strange, well yes it is, compared to football (American or international) or basketball. But then so is baseball! There are some subtleties to football (either type) and basketball, and most games, but they are nothing like those of cricket or even baseball. Between those two, I would say, however, off the top of my head, that baseball subtleties are more predominantly in the execution than in strategy (although both apply), whereas in cricket, the strategies of bowling, batting, and fielding positions are just as complex as the execution.
Well, I'll stop with that... I feel I'm getting rather off topic for this forum.