I decided to start from scratch so I did another factory reset on my Moto 360 and also bit the bullet and did a factory reset on my Moto X 2014. Sounds like different issues for different users as my issue with Bluetooth connectivity was ONLY in regards to my Moto 360 smartwatch. Other Bluetooth connectivity with cars, Bluetooth headphones and Bluetooth portable speakers were fine. However, since updating my Moto X to 5.1 Lollipop, I've seen a rather significant drop in battery life on my Moto X. Last night I switched my phone to Safe Mode and battery life increased dramatically, so I thought it was worth doing a clean factory reset on the Moto X. It will take me awhile to determine the impact as I'm totally starting from scratch and plan to re-install my apps a few at a time to determine if I have any bad actors that are causing the battery drain on my phone.