Can a TV be mounted directly into a heavy wooden entertainment center?
Another way:

Vesa MIS-C mount on the TV?
Presumably the entertainment center shelf is designed to take considerable weight.

You could run a big L bracket down to the floor of the shelf, where you've installed a slot for the bracket to slide into and secure the display.
Since 1" screws are unlikely to hold the full leveraged weight of the display, you could pile 50 or more pounds of weight onto the top of the slot structure. That should eliminate the possibility of your screws yanking out of the cabinet, and also eliminate your having to put screw holes in the, no doubt pretty, front of the cabinet.