The Ford has a Sterling axle, which has flat-faced hubs with no reliefs for coined wheels.
You still have a cheap and easy option to run the coined wheels on the non-coined hub; provided you use the old style conical lug-nuts for centering the wheels.
At junkyards, swap-meets, and behind tire-shops are plenty of old school two-piece split-ring wheels that are coined; these wheels are considered junk and will probably be given to you for the asking.
Cut out and keep the coined lug-nut portions of two of these wheels.
Choose a "best side" to keep and grind the opposite side smooth.
Use this home-made coined adapter/spacer behind the coined wheels;center and torque the whole works with conical nuts.
Occassionally re-check the nuts for torque.
The lugnuts of the Dodge are very similar to those of the Ford, except that they are one-piece design whereas the Ford lugnuts are two-piece.
It looks like you have the solid flanged nuts, then.
Although the coins center the wheels to some extent, the flanged nuts do not allow perfect centering and ride quality issues result.
Dodge put out several TSBs (technical service bulletins) on the solid flanged nuts used with coined wheels.
Their recommendation for proper wheel centering is to first center and torque the wheels, front or rear, with old style conical nuts, then once centered and torqued, replace the conical nuts, one by one, with the flanged nuts and re-torque.
Over on the Dodge forum sites, many that are not the original owners of their Dodge trucks, and had no way of knowing about this TSB business, are completely amazed at the improvement in ride quality after they follow the instructions in the TSB and truly center their wheels, probably for the first time since they have owned the truck.
The Dodge can use the Ford wheels, but the Ford cannot use the Dodge wheels due to the fact they are coined. The Ford can use the Dodge lugnuts, but the Dodge cannot use the Ford's lugnuts due to the fact their shoulder diameter is smaller and will likely not clear the four outboard-facing coined sections of the wheels. Makes any sense? lol
Yes, makes perfect good sense.