They will look at the door sticker (which I think is what you are alluding to), and/or trailer sticker for the GVWR and Axle Weight ratings. They will then weigh each axle reference it to the 1) Tire weight limits, 2)mfg axle weight limits, 3)gross vehicle weight, 4)state/fed axle weight limits. You will be very close to being overweight on the rear axle/tires with that load. Regardless, there is still a difference to what is 'legal' and what is 'safe' especially when we're talking about these smaller trucks.
You will need a CDL to legally move that dozer no matter what truck/trailer combo you come up with, unless it's for farm use, and then DOT is still going to hassle you when you go out of state. Also a CDL is not as easy to get as it once was, now you'll have to go to truck driver training school before they'll let you take the test. On top of that you'll probably also need a DOT physical/med card, and so on. It'd be far easier to hire it hauled if it's only on the rare occasion.