That guy in the 1995 Crown Vic has some serious skills, and balls of brass to have even tried this the first time (years ago).
I've taken a 1987 Ford Fairmont (inline 6 engine, no limited-slip rear end) on some jeep trails out West (northern Arizona), and I got up some hills, but nothing like this. Not even close!
If the Ford sedan was a former police vehicle with a limited-slip rear end, and nice wide tires made of soft rubber with reduced air pressure that day, it's not a terrible set up for rock crawling where inclines are steep but the rocks are clean, pretty smooth, and without anything that will hang you up on your undercarriage.
My brother was famous among his friends and family members for off-roading in the dirt and mud in 2WD cars. Ford Torino and Gran Torino. Honda Civic. All late 1970s models.