Hello @jbutler97,
Thanks for writing in! 
Please see my answers below:
My events page - www.fortworthfotofest.com/events was fully set up with a calendar created with Essential Grid for Eventbrite events. After this page had been done, completed, and published for a couple weeks, we decided to activate the Modern Events Calendar. This changed the entire view of the page by deleting the page background image, all text, and the Essential Grid calendar we created and replacing it with an ME Calendar.
I would like to use ME Calendar, but not as a replacement for the entire page, just an element within the page. I deactivated the plugin to be able to figure out if this was something that could be done, but upon deactivating ME Calendar, the page has been broken.
I was looking for the page with Essential Grid. Has this already been deleted? I can see that you have Events and Events Calendar page which are identical. Anyway, I suggest you continue using MEC calendar for your setup since it’s already been placed and embedding it is easy. You can add the MEC calendar properly on your page by checking at the instructions below:
First, you need to copy the shortcode from ME Calendar > Shortcodes , open Cornerstone and paste that shortcode inside a Raw Element element. An example shortcode: [MEC id="449"]
For more information on using MEC calendar: https://theme.co/apex/forum/t/extension-modern-event-calendar/10218
When clicking on the EVENTS tab on the menu, I am re-directed to the homepage of the website. If I type in fortworthfotofest.com/events, I am forwarded to the homepage. If I go into Cornerstone, I can still view the events page as it was created. All of the elements are there and active. When I click the button to view the page from the editor, I am re-directed to the homepage.
The reason this is happening is because you haven’t added the Events page to your primary menu. You need to add that page so you can see it working:

The one you have set right now is the Events Calendar page:

Since they are identical, its up to you now what you wanted to remove. You can remove the Events Calendar page or the Events page. If you want to use the Events Calendar page, I advise you rename the URL from /events-calendar
to /events
, while change the old /events
to /events-1
. Also don’t forget to update the page names. Just an idea to point you to a direction.
Hope this helps.