I've wondered the same myself, and have been keeping an eye out for information on how much the transfer case can take and so far I don't know of anyone who's broken one with HP. Neglect yes, the pre-'09 version yes, but no '09+ If you have I'd like to see it. By my estimation and all evidence that I've seen they'll easily handle 600HP. There's several AWD 300s and Chargers out there making that kind of HP and more. There's a YouTube channel named dasllamas, he has a 600+ HP AWD Charger you may want to check that out.
I'm also curious what you mean by " 8-speed transmission swap from a Grand Cherokee (I checked, apparently it fits". I haven't seen anyone put an 8 speed between the V8 and transfer case in an LX. Junkyard Dave did it, but he used the transfer case and front axle from a Jeep. The Jeep stuff is very different and requires the car sit higher as it's not integrated into the pan and the driveline is on the drivers side.
I think the main reason nobody has broken a transfer case that I know of is basically I don't think it can really be done. The rear drive portion is directly driven and as strong as the transmission output. The front drive portion is limited by front traction and how much torque the clutch can apply. Simply put the tires will spin, or clutch will slip before anything mechanical can break.
Also the computers in these cars limit driveline torque. There's parameters that limit torque per gear and can be adjusted using software like HP Tuner. This can act as a limiter to prevent over torque in low gears. If you have one now you may have already noticed this feature. The car stock limits torque in 1st gear but maximizes that limit when the car is put in autostick. Mine doesn't have a lot of HP upgrades but in any reduced traction condition(wet roads) it will spin all 4 tires off the line in autostick. Probably would in the dry as well, but I'd have to tie it back all Hoonicorn style and I haven't yet done that.
As I figure there's 3 slightly weak links in the drivetrain.
1. The transmission, it's a stout transmission factory rated for 428 lb·ft, used by Mercedes and Chrysler/Jeep in applications far more demanding than our cars. But at 600HP you'll be asking a lot if you really drive it hard.
2. The front axle disconnect. If it's in RWD mode when you really hit it, and it tries to connect for AWD it's not going to handle it well. This is solved by simply using the Tazer to always keep it in AWD. Mine made a horrible noise once when I threw it sideways on pavement while still in RWD mode. It survived but I'm not going to do that again.
3. The rear diff, easily upgraded.
I'm also curious what you mean by " 8-speed transmission swap from a Grand Cherokee (I checked, apparently it fits". I haven't seen anyone put an 8 speed between the V8 and transfer case in an LX. Junkyard Dave did it, but he used the transfer case and front axle from a Jeep. The Jeep stuff is very different and requires the car sit higher as it's not integrated into the pan and the driveline is on the drivers side.
I think the main reason nobody has broken a transfer case that I know of is basically I don't think it can really be done. The rear drive portion is directly driven and as strong as the transmission output. The front drive portion is limited by front traction and how much torque the clutch can apply. Simply put the tires will spin, or clutch will slip before anything mechanical can break.
Also the computers in these cars limit driveline torque. There's parameters that limit torque per gear and can be adjusted using software like HP Tuner. This can act as a limiter to prevent over torque in low gears. If you have one now you may have already noticed this feature. The car stock limits torque in 1st gear but maximizes that limit when the car is put in autostick. Mine doesn't have a lot of HP upgrades but in any reduced traction condition(wet roads) it will spin all 4 tires off the line in autostick. Probably would in the dry as well, but I'd have to tie it back all Hoonicorn style and I haven't yet done that.
As I figure there's 3 slightly weak links in the drivetrain.
1. The transmission, it's a stout transmission factory rated for 428 lb·ft, used by Mercedes and Chrysler/Jeep in applications far more demanding than our cars. But at 600HP you'll be asking a lot if you really drive it hard.
2. The front axle disconnect. If it's in RWD mode when you really hit it, and it tries to connect for AWD it's not going to handle it well. This is solved by simply using the Tazer to always keep it in AWD. Mine made a horrible noise once when I threw it sideways on pavement while still in RWD mode. It survived but I'm not going to do that again.
3. The rear diff, easily upgraded.