Here's an example.
Politician #1: "Martin Luther King had a dream that one day people wouldn't be judged by their race. I'd like to help make that dream a reality."
Politician #2: "I can't believe my opponent is comparing himself to Martin Luther King."
It doesn't take a genius level IQ to realize that politician #2 is being a dishonest jerk by employing a strawman argument. I hereby call this particular variant the "comparison strawman". Once you see it, you'll see it everywhere.
e.g. "Mutti" is to Merkel as "Iron Lady" is to ______
My suggestion was only to make the analogy tighter (nicknames of the first women leaders of major European nations, both long-serving and politically steadfast. In fact Merkel is sometimes also called 'Iron Chancellor').
Altho the 'teflon president' Reagan nickname doesn't have such as strong link as 'iron chancellor' to thatcher.