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I'm having this same exact issue.
It's not just with COD MW, and it's not just when I'm connected on the PS4.
When I'm gaming on the PC I get disconnected often for no reason, when I'm gaming on the PS4 I often get disconnected. If I connect to the wifi on my cellphone and stream or game, I often get disconnected.
It's gotten to the point where I'm either going to return the XB6T and use a 10 year old router (which worked flawlessly prior to coming back to Comcast), or go out and buy my own modem/hardware set up.