What would be the cause for my Jeep Liberty to stop running while I’m driving?

Hello, I can definitely appreciate that it's a stressful situation as well as a safety issue - which is why I strongly suggest that you seek some local guidance from a trusted shop near you. Yes, there could be an air intake issue, a fuel delivery issue, an ignition spark issue, an exhaust restriction issue or even an emissions controls issue. There's no clue you've given that would suggest any one place to start looking. Even more of an issue is that it sounds like your concern is a bit intermittent in nature, so it could be more difficult trying to diagnose and resolve. Use this link to find some shops near you that can help with your concern: www.repairpal.com/repair-shops