The ISP you use to connect to Internet probably isn't the issue. The issue is the software used by Cox to monitor your equipement.
So better ask some other security companies if they can remotely monitor Cox equipment or only their own. I'm afraid the answer will be "Only our own, please sign a contract to rent it and use our services. Welcome as a new subscriber."
I have a COX security system (sensors & camera). I no longer want to be monitored by COX security over COX internet. I own all the equipment. How can I connect my existing security system to new internet service provider? I need to establish remote monitoring of camera, temperature settings, and lights.