Boy, that sounds more like you do have an issue with the 60D. Things get old, wear out, and the like. Jeez, I've never kept a digital SLR long enough for anything to go wrong with it! I've had my 6D almost 5 years, and it is still going strong after 30k clicks. I did keep most of my film cameras until the took their last gasps. Just bought another one of those, too!
Anyway, if you are still deciding on an upgrade to the 60D, I can't say enough good stuff about the 80D. I've had mine for about 9 months and I am really happy with it all the way around. I bought it to replace my 1DIV; it does everything I ask it to do, ... and a bit more. The 80D will focus in light that would make a 1DIV break down and cry.
To be totally honest, I think I should have spent the little bit extra and gotten the 7D2. It is way more customize-able than the 80D. If I were buying a camera now, and money were no object, I'd be getting a 5D4, or maybe a 1DX2, or... crap, there I go, again. Happy deciding.