Yes I do...
basically, and simply, the Jeep was not designed to run with LED lights.
The old blinker systems ran on a current draw design, a piece of metal would heat up and break the circuit, then cool and reconnect. Viola, blinking lights; where your new LED lights cannot draw enough current to make that flasher work.
Easy fix, go buy a blinker designed for LED signals. But be warned, they are kind of expensive; although you probably realized that when you bought the LED lamps in the first place.
As for turning your lights on and the LED lights dont, I would think there is a wiring issue then. Bad ground like was offered, or some other wiring gremlin causing that issue.