Yeah, I've had experience with the FX series and the stock cooler... 60C is actually a fine temperature for that CPU. Once you start getting into the 80s is when it isn't too healthy for the PC. A few things I figured out:
The bios, for some reason I can't remember (something like not being optimized for PCs), runs the CPU at like 90-100% usage, so high temperatures in Bios is actually normal.
The CPU after reaching 90-100C baked the thermal paste, and glued the CPU to the heatsink, causing more heating issues.
So, I'd suggest running a game or benchmark and monitoring the CPU temperature to see how hot it gets. If it reaches 80C, I'd suggest (1) getting better quality thermal paste ($5), and/or (2), get an aftermarket cooler...