I have a 60 inch hi lift if anyone is willing to test it. We'll figure out how far is to far. I bet we'll need a few strong guys after the jack gets to the top though. Here's a fun link if you're bored
http://www.jeepaholics.com/tech/cog/
But if I'm understanding you correctly, your fiancé thinks that because you are turning so fast the vehicle will tip onto its side? Really that's just someone being uninformed and verging on the edge of dumb. I'd have to go find it, but I'm pretty sure the Patriot has a roll over resistance rating of 4 out of 5 stars. They test this by doing a bunch of sharp turns at varying speeds and seeing how the vehicle reacts. The vast majority of vehicles on the road today are setup from the factory to understeer before anything worse happens. This includes the entire SRT line except for the Viper (yes I have driven them all). Understeer is typically more safe then an oversteer situation. Basically if you go into a turn to fast you will go straight and end up off the road or into oncoming traffic before the vehicle will tip. In the odd chance that you can get the vehicle to oversteer, say with lifting off the throttle when going into an offramp to fast, and a tire goes off the roadway, you will most likely roll the vehicle. However; it is extremely rare for modern vehicles to oversteer due to chassis design, tire setup and ESP. The last non-sports car that really ran the risk of this was the Lexus GX460. Consumer Reports "discovered" the "problem" and put the GX460 on the Don't Buy list. Toyota halted all sales and did a recall of the vehicle to change the stability program to "no-fun" mode. CR retested it and was happy with the fix and removed the GX460 from the naughty list.
Typically I go into turns in my TJ around 5 to 10 mph over the limit without much trouble. That thing is probably one of the tippiest stock vehicles on the road, it has a tiny little wheel base, 50/50 weight distribution and equal sized tires at all four corners. It has no ABS or ESP of any form and a very aggressive off road oriented rear differential. It should not understeer, but when pushed to the limit, even that starts pushing the front end around.