The short answer is YES-- anything is possible. You can certainly melt down a stock truck. All it takes is a blown intercooler boot. That's why even though DC is cheap, they use high quality clamps on those boots.
Ever truck will vary as to what it's absolute EGT limit is. Some bores are tighter, so if they will seize the pistons eariler. Some oils are better at high temps, so the bores are less likely to seize. Some turbos are more fragile than others.
The Cummins number of 1275 degrees so often touted as the "absolute limit" is NOT that. Cummins says that the engine will run ALL DAY at that temperature, with full safety. As you exceed that, the amount of time the engine can operate will shorten. The higher you go, the faster that time of operation shortens. When EGT hits 2000, you can be you wont be able to operate it for long.
Just because aluminum melts at 1300 degrees doesn't mean that 1300 EGT is your cutoff. Truth is, your piston crown temperatures are MUCH lower than your EGT. At the "Cummins limit" of 1275, the pistons crowns are probably not even over 1000°. So don't put too much stock in 1300° as an absolute number-- it all depends on how long you are running, how hard you are working the engine and such.
You will RARELY hear of a stock CTD overheating with the manual transmission. Usually, it is associated with the automatic trans trucks. Why? Basically, the ATF gets so hot that the radiator can't cool BOTH the engine AND the transmission, so you end up with an overheat. THe culprit is the looseness in the OEM torque converter, which generates a lot of heat. This won't matter much when running empty, but if you tow-- LOOK OUT! Your trans temp can flash up to 300 degrees under some circumstances.
The bottom line is that overheating is usually caused by auto trannys. While you WILL see high egt from the ETH (especially in the thin air), you are not likely to melt anything. Just keep the RPM up (over 2K) when climbing hard, and you will be just fine...
Oh-- and for a cheap extra measure of insurance, you can get a cheap boost fooler and boost elbow. This will NOT increase power, but it WILL raise boost and lower EGT to manageable levels. Since you have stock injectors (and no box), I would say that this cheap upgrade would make you just bulletproof as far as melting anything down, even in the mountains.
Justin