I just updated the main page of my website to Atahualpa v3.2 today and have been amazingly pleased with it. However, it seems like the style isn't taking as every so often I refresh the page and Word Press has revert back to the default style.

Even more bizarre is the fact that the "Dashboard" tab is still showing Atahualpa as the set style.

The website is http://www.joebattlelines.com

Any help is appreciated as I'm relatively new to working with Word Press but have found it quite useful thus far.

Wordpress usually changes to the default theme when the directory name of a theme was changed (i.e. editing the directory name through a FTP client) after it was activated. Other than that I have no idea. You should click around, enable/disable plugins etc., to track down the conditions under which the error happens

I'm now occasionally getting the error that "the chosen theme is broken; reverting to default".

Do I need to run the upgrade or reinstall the theme?

Try using the newest version, 3.3.3