How old are your spark plugs? Patriot plugs are only good for 30,000 miles. Running rough after cold starts in the morning is a classic symptom of plugs that should be replaced.

 

Probably hasn't been replaced but wouldn't it cause a misfire if its spark plugs? Also no codes

 

Had the same problem, replaced front axel. It got better but still wasn't great. Replaced the steering rack to solve problem.

 

Wouldn't cause his vibration if the vehicle wasn't moving. Any shake at startup sitting in park leads to the engine alone.

 

Do the cheap stuff first. Start with the plugs.

 

Try doing a transmission oil/fluid change. I did two of them within a weeks time frame and oh em Gee it makes driving it like brand new again. I changed my plugs and it kinda helped a tad with vibration, I feel like the real culprit is the combination of both the spark plugs and need for a fluid change that makes it vibrate so much.

 

I have the same kind of Jeep and mine does the same thing. Haven't figured it out yet

 

No it vibrates when I'm moving.

 

If it's only when moving then it's more likely drive line (cv joint, wheel bearing, etc.), tires/rims/wheel balance, or alignment related.