Firstly, with true touch typing, the "mind" doesn't come into it much. It's a physical skill.
If you are using the same keyboard (ie "flat") to type with a different layout (eg QWERTY vs Dvorak) then I can understand the difficulty in learning.
But if you use different topography keyboards, say flat versus Maltron 3D (or Kinesis), then that should really ease your difficulty.
I learned QWERTY in 1967, then changed to Maltron in 1986, using the Malt layout (as opposed to the QWERTY option available - keystroke switchable), and for about 5 years after I "hit my straps" with the Maltron (ie over 65 wpm) I could still do 55 wpm with the QWERTY. Even now, I can still "touch type" with a flat QWERTY keyboard, so I never really lost my QWERTY ability, it's gotten very rusty. However, if I flip the switch and bring in the QWERTY option on the Maltron keyboard, I'm absolutely lost.
I've noticed it with music. I go to symphony orchestra concerts and see some of the muso's play more than one instrument (particularly percussion, xylophone, drums, triangle, etc). Myself I play about 8 different instruments, and even when playing the same piece of music I have no difficulty. Except if I for example retune my guitar so it's in the same tuning as a mandolin (but an octave lower), then that can cause problems. I think this would be the same as using a flat keyboard with two different key layouts.
I've bought myself a pair of Maltron single hand keyboard, and am now teaching myself how to type one handed. Since I don't NEED to type with only hand, there's no urgency with it, but it seems like it's fairly "do-able". I reached about 12 wpm (using shorthand) after about an hour and a half practice. But again, that single hand keyboard is absolutely nothing like either the flat QWERTY keyboard or the Maltron 3D dual.
Joe