Good luck with getting the software update. The download process at the Uconnect site posted by DodgeCares is notoriously difficult to use with most browers, and it installs a peer-to-peer file sharing service (Akami Netsession Client) that runs in the background of your computer forever until you find it and manually uninstall it yourself. I have no earthly idea why they don't simply provide a normal file download link like every other normal website...
It's unlikely that this will take care of your Bluetooth issue, but there's no harm in upgrading -assuming you're able to actually able to download it in the first place!
I think that some of the hands-free modules in the cars are kind of flaky. If you're having trouble with it, it's more likely that it should be replaced. When you've got a good one, it should perform flawlessly. If you've got a bad one, it can occasionally loose connection or stop working entirely.