Uconnect wont call out disconnects

Try Soft reset
https://www.youtube.com/watch?v=cgb_WJB3DO8

Try disconnecting the battery for 5 minutes. If the radio does not come back after this "cold boot" it has failed internally. Go buy a pioneer with Bluetooth for 1/4 of the radio replacement cost.

Push the uconnect button and at the same time when the voice
says uconnect ready adjust the volume knob

Not all Chrysler products have uconnect; it may show the button on the radio, but if the uconnect system isn't installed you get the error you're getting; My Dodge Nitro is the same. You can buy the uconnect from the dealer or off of eBay (they run about $300, plus it has to be installed) Details about Dodge Chrysler Jeep Ram Hands Free Uconnect Kit OEM MOPAR

What model uconnect have you got?

There are a few things to note. The pairing has to occur between the Uconnect device in the Chrysler 200 and the Samsung S3 using bluetooth. I noticed there are 4 possible Uconnect systems available. Depending on which one you have you can check the recommended cell phone to go with it. Samsung S4 is defnitely compatible to all of the of them and SIII also with some. But that does not mean SIII will not work with others. It just means it may not have been tested.

Go to this link and select the vehicle model and year and then follow the instructions to get to the correct pairing instruction. If SIII is not listed I would still check S4. Should not be much different.
Chrysler Uconnect

Because you have bluetoot in the radio

check jeep.com/uconnect just to make sure the model is ok. Sometime your cell phone provider can update the software to make it work better with the device.

There is most likely a fuse, i don't have a Cherokee manual handy for that model year but i know on the Liberty of the same year there is a fuse for the UConnect in the interior fuse box. If you have your manual in the glove box check the glossary for fuses and there is a diagram showing what each fuse is with a number and an explanation of what each fuse runs in a chart. If the fuse is ok it might just need to be reset, pulling the battery negative cable and waiting 10-15 mins and then reconnect will usually clear up any issues and reboot everything, just be aware that if you have antitheft lock on the stereo that you disable that before pulling the battery cable otherwise the radio will be locked after reconnecting the battery cable. You can also try just pulling the fuse that supplies power to the Uconnect and leave that out for a bit.

However, i kinda doubt its a fuse, because usually the Uconnect and stereo are on the same fuse, so if everything else is working that might not be it but its worth checking before taking it to a dealership.