Combine oregano, thyme, sesame seeds, cumin, salt and pepper. Set aside.
To make cucumber-relish:
Combine cucumber, feta cheese, red onion, kalamata olives, olive oil, and lemon juice. Set aside.
To make beet hummus:
Add garbanzo beans, beets, lemon juice, garlic, tahini, olive oil, za'atar, salt, and, if using, sugar to a blender or food processor container. Pulse until smooth, stopping once to scrape down sides with a spatula.
Transfer beet hummus to a bowl. Top with an additional glug of olive oil and a sprinkle of za'atar (saving remainder of za'atar for another use). Arrange cucumber-feta relish on top of hummus. Serve with Crunchmaster crackers and fresh cut vegetables.