Re: It could be much much worse...
There hasn't been a Republican Presidency since 1928 that didn't have either a Bush or Nixon on either the Presidential ticket or Vice Presidential ticket."
This sounded sorta disturbing in a vague, ill-defined way, but not as scary as you described it. So let's review.
In 1953 Eisenhower/Nixon entered office for 8 years, and it definitely happened 'since' 1928. So far so good.
Then in 1968 Nixon won outright. Yup, starting to get sinister all right.
In 1974, Gerald Ford assumed the presidency, and sure enough, his VP was Bush! No wait, it was Nelson Rockefeller. Huh. I guess the incorrectness of your basic statement detracts just a bit from the pucker factor, but let it go.
Then in 1981, Reagan/Bush assumed office. Ahh, that's better, our first Bush, and only 53 years after the start of the scary period. Good enough I guess.
After Reagan, that same Bush won outright. Uncanny!
Then after 8 years of Clinton, Another Bush! It's a dynasty! I'm getting scared.
Finally we come to now, when Jeb Bush (another one!) is about to begin his sweep to office. Wait, last I heard he was in the loo and going down for the third time.
End of a dynasty I guess. And whatever happened to those Nixons? What's that you say? There was only ever one of them? I was sure there was a whole swarm...