As if the 1st generation '83-'85 DK hi-flange hubs weren't rare enough already... check this out.
NOS, never laced. Rear hub with wide spacing for multi gears, track bike, mountain bike? Who knows...

Now, what the hell do I do with it?

Someone swapped the axle.

With what? These have an odd size (larger diameter) axle tube and collars than most BMX hubs.
It's also a NOS never laced hub...

I don't think so...

I'd take JRad's word on this, he knows a little bit about DK.

Yes, I know he does...