You can get double neck guitars that go in opposite directions, left hand and right hand, but those are probably all big expensive custome jobs, but if you did get one, both necks should be the same, for continuity, ya know, a right handed 6 string and a left handed 12 string would be strange, and would just get your different hands used to different things.
Anywhoo, the cheaper solution in my mind would be one right handed guitar, and one left handed guitar or the same kind.
And God said, 'Let there be rock!'
-And it was good
-And it was good