If there's a way to remove the face frame and toe kick on for the pullout you're golden. There's always a way, just not sure how it's put together. If it was assembled and finished onsite you may be in luck. The way it looks to me the cabinets on the left and right (there's white melamine on both sides) are independent of the pullout section. If this is the case then the face frames were probably screwed together so just remove those screws and the box for the pullout. The toe kick may be a little more difficult but if you had access to a feintool or similar you can easily cut the toe kick to fit the dimensions of your chosen kegerator and stain/finish the cut edge to match.
Can you tell how the pullout section is assembled? One word of caution, out a support panel on the left side of the pullout section running from the floor to under the counter so you don't pop your granite seam.
I'm 99% sure I know what you are saying. I am going to grab a flashlight and do some poking around in there.
Thank you so much for the help!!