Left click does not work on either BT mouse or pad
I had the same puzzling condition. It turns out I had 2 BT mouses connected at the same time. One was on in my carrying case and one I was using on the desk. The result was: no left click! Turning off one of them solved the problem. A quick check is to close the lid of the macbook. Upon opening the left click on the pad will work briefly, few seconds, before the BT get reconnected.
I had the same issue and having 2 BT Magic mouse by mistake connected at the same time was the issue too. Thanks for sharing!