I'm aware and my point was explicitly about being able to drive them around wherever I like, under the guise of it being the rough equivalent of concealed carry for an MLRS.

You can't; there's restrictions. At the minimum, it's likely that people would argue they're heavy and would harm infrastructure (or outright destroy it in the case of some tanks).

Separately, explosives are also tightly controlled, but are still a key part of armaments.

The government owns the roads, ergo can sidestep a lot of the what might otherwise be mandated under strict scrutiny for their usage with rational basis tests. E.g., "the roads are rated for <x> class of vehicles, and a tank is <y> class."

But you're wrong, while I couldn't drive my tank around, I could certainly load it onto a tractor trailor and show it off around town. I would argue that's functionally the same thing.