Pavel Urusov

While I don't own a Fujifilm 56mm f/1.2, I have shot with one for a while and I don't really have any complaints about its sharpness.
 
This is a full-size 16 MP OOC JPEG shot with X-T1 and 56mm at f/1.2: http://photo.torba.com/images/pavel.urusov/f/gI5QLQoLCnsuemLMrod5.jpg
 
As you can see, it's sharp. Maybe even too sharp because it shows all the pores etc.
  This one was also shot at f/1.2 and converted in Lightroom, and it's extremely sharp: http://photo.torba.com/images/pavel.urusov/f/e5rz4Eayund6m2g7Udyc.jpg
 
I think you have a misfocusing issue. The eyebrow in your shots looks sharper than the eye itself. 

Frankly speaking, I got my X-E2 because it's an awesome camera that already does everything I want. I bought it based on its initial specs and capabilities, for me the later improvements are nothing more than a cherry on top of an already tasty cake.

Frankly speaking, I got my X-E2 because it's an awesome camera that already does everything I want. I bought it based on its initial specs and capabilities, for me the later improvements are nothing more than a cherry on top of an already tasty cake.

Frankly speaking, I got my X-E2 because it's an awesome camera that already does everything I want. I bought it based on its initial specs and capabilities, for me the later improvements are nothing more than a cherry on top of an already tasty cake.

Frankly speaking, I got my X-E2 because it's an awesome camera that already does everything I want. I bought it based on its initial specs and capabilities, for me the later improvements are nothing more than a cherry on top of an already tasty cake.

Frankly speaking, I got my X-E2 because it's an awesome camera that already does everything I want. I bought it based on its initial specs and capabilities, for me the later improvements are nothing more than a cherry on top of an already tasty cake.