Can't speak for every kebab shop but here it's typically served with hummus, tahini and sometimes an eggplant spread.
Edit - also the traditional way to make falafel is vegan as it originated as a fasting food for Middle Eastern Christians (traditional fasting rules dictate no animal products).
Edit - also the traditional way to make falafel is vegan as it originated as a fasting food for Middle Eastern Christians (traditional fasting rules dictate no animal products).