When Marty told '55 Doc that Ronald Reagan becomes president, Doc says that he supposed that Jane Wyman was the first lady. Ronald and Jane actually divorced in 1948 and Ronald married Nancy in 1952.
This could just be chalked up to a mistake on Doc's part. Maybe Doc just isn't up on the whole entertainment industry, so he wasn't aware that Ronald Reagan divorced Jane Wyman - or, maybe he did know, but temporarily forgot. So not's not really a goof, as we don't see any "offical source" in the movie proclaiming that Ronald Reagan and Jane Wyman were still married.
What would be a goof would be the fact that the episode of The Honeymooners was shown a month earlier than it actually came out in 1955.
You're right. Doc does have limited knowledge on pop culture, so it probably was put in there on purpose. :docs2: