I have no overheats on my connect and regularly get well over 20 hours of battery life. With moderate use. I shudder to think how much time people are spending on the connect to just get 8-10 hours of battery life.
The overheating on the phone should have been fixed for you with the last update.
I do not think the motion has anything substantial to offer to get rid of the connect. A smaller screen is a major downgrade IMO.