you are not alone in this, my patriot 2016 also suffering from exactly what you described, is rough and shudder engine within idle, once I stopped by lights or at parking lot the engine starting vibration, and this vibration can feel it exactly left side by the driver seat through the steering wheel and goes to entire car, I start see the plastic going off, also hearing a lot of squishing sounds from different area inside the car, finally I lost the horn and all connection for Bluetooth, So basically all electronic issues happened because of that shudder (vibration) from the engine.
Now am not a mechanic or that genius person, but it's really frustrated and 20% my income goes to mechanics shops, still they cannot find out,
as the others says I will go step by step checking and cleaning parts and engine sensors, i will keep posting results here with my investigation with that engine mystery issues and I will see what happen.