You can't push start any of the common rail diesels unless you have replaced the alternator with a generator.The newest US consumer truck you can push start in stock configuration is probably the 2002 cummins dodges.....and even then you will have to apply power to a solenoid to enable fuel injection.
Lifts don't look bad at all, although I prefer leveling kits
My truck only has a 6" lift to clear the 37.5 tires. It has airbag suspension on the rear to level when pulling heavy nosed trailer. Had gooseneck popup ball in bed. The rims are 22" forged aluminum and able to handle all the weight the truck is capable of.When lift is necessary I see no issue. The trucks with 8" lift and small tires make me scratch my head. So do Body Lifts.
and your truck's Ball Joints are being overworked due to the increase in weight.
The truck is a 3/4 ton...... and is built plenty stout.
The Dodge diesel feels like a hot rod, without a load behind. My boat weights 5 tons, and the Ford pulls it with more ease. I just noticed it today pulling a trailer.