With help from Barry Hughes, I’ve adapted a function that will remove the category class tag that appears in the article tag on that page. Usually this is when the Default Page Template is selected in the Events Calendar Settings. Simply add the code in this gist to your theme’s functions.php file. If it causes problems, and it may, just remove the code and try #2.
Using Themer’s Guide for The Events Calendar create a new ecp-page-template.php, adjust this new template to correspond to how you want your calendar displayed and choose Default Events Template from the Events Calendar Settings.