Hey Jason,
As far as I know, what you’re looking for is currently not possible with the free version of The Events Calendar, unless you to manually write code that filters the WP_Query used for the Events List widget that’s included with the plugin.
However, these things should be very simple to do PRO. Basically, if your theme has a page template with a sidebar, just make sure the “Events Template” option in “Events > Settings > Display” in your admin is set to one of these templates with a sidebar. This way, you’ll be able to add widgets alongside the calendar.
Once you’ve ensured that, you can then just drag the PRO “Events Calendar” widget to that sidebar – it has filtering capabilities by default, as you can see in this screenshot → https://cloudup.com/cE82grb6Kf8
This will not affect the display of the events over in the “main” calendar next to it at all.
I hope this helps, cheers.
George