After Chrysler's engineers checked out the vehicle, and re-loaded it according to their measure of GVW (which was 200+ lbs lighter than Teknikens Varld's weight), the vehicle no longer tipped up. However, if you watch the video, you'lll see that it is roll-hopping substantially, with the front wheel in the air much of the time. And in multiple runs, the Jeep suffered a tire de-bead.
A de-bead is when lateral forces on a tire push it so far that it loses its bead seal, and allows air to escape. This results in a nearly flat tire on the de-beaded wheel, and is dangerous because if there is a rim hit, that wheel could dig in and increases the risk of a rollover.
You can watch the video for yourself here: http://www.youtube.com/watch?v=zaYFLb8WMGM&feature=plcp (and I highly suggest you do)
Teknikens Varld conclusion is that the Jeep Grand Cherokee is not safe. I don't entirely agree, as this is a very demanding maneuver, and the vehicle is loaded to maximum capacity. For most people, who will be driving the vehicle at a lighter loading, there is probably ample safety margin. However, it is significant that competitors such as the Volvo XC90 pass the same test.
I think Chrysler has some more ESC tuning work to do on this product.