The Jeep YJ he is talking about is an 80s design, and some models topped 3200lb by the end of the run. So he is comparing the weight and handling of a car from the 80s to a car from the 2000s at the earliest (although the curb weight he cites means that the fit he is talking about would have to be a later model, from 2015 or later).

The modern Jeep Wrangler, and the one that would be contemporary to the Honda Fit weighs in at 4,000 lbs in the 2-door base model or significantly more depending on options.

If you compare a YJ to a Honda Civic of the same era, you see that the 1986 civic was 1800 lbs up against a 1986 YJ at 2800 lbs.