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These don't look soft to me, they look like you've missed focus.
In the first, the strands of hair on the right side are sharper than the eyes.
In the second, the stitching in the hood at the top, just left of center and the hair at the far right side of the frame are also much sharper than the eyes.
What body are you using the 50mm 1.2 on? Achieving focus can be very tricky with the stock focusing screens. Most do not show changes in DOF below f2.8. You can verify this by setting the lens to f2 and hitting the DOF preview button. You will notice that there is NO change in DOF.
Personally, I shoot with the 55mm 1.2 and it is very sharp. There are aberrations that can detract from the sharpness, but with proper exposure, you can get amazing results.
I have changed the stock focusing screen on my D700 for one I salvaged from an old Miranda Spotmatic camera. Now, even changing from 1.2 to 1.4 and hitting the DOF preview button, I can see a (very slight) dimming of the viewfinder, and the DOF changes subtly. Before changing out the screen, it was pure luck to get the eyes in focus.
At minimum focus distance, it compounds the problem.
It gets easier at a distance.
And a crop: