The lathe on the cabinet will be big, probably too big to fit into the car.
With the lathe still on the stand, the whole thing will be top heavy and unstable.
The lathe alone, with the motor attached will be unwieldy enough. (When I moved my ML7, twice, it needed two of us to ensure that it was within our combined lifting capacity,and could be handled safely).
It will be safer to separate, and easier to fit into the car. And the lathe will be lighter than the whole lathe and stand combination.
Also, when you finally site the lathe and cabinet at home, you would need to “level” the lathe to remove any twist from the bed , in the new location. (Easier if the lathe is on riser blocks, otherwise you will need to shim, which will be less precise than using screws to adjust)
Howard