"Non-violence is a very non-functional approach in a society that's based entirely on organized force and violence."
If the vast majority of the public actually agreed on something, they could non-violently change anything in days.
The allure of violence is that people mistakenly think that they make change without support, when in reality, they are usually just creating effects, not the change that they want.
Shooting a school or rioting has a lot of effects, but they almost never make the desired change.
This might be more persuasive if you supplied some examples.
Huge ask right at the beginning. If that is met, there are several examples such as The Velvet Revolution, Iceland's Financial Crisis Protest, The Women’s Suffrage Movement, Philippine People Power Revolution (1986) etc.
1. They are in the right (no pun intended) group
2. All other groups are in the wrong
3. Their leader cares about them
4. He/she has the solution
1. Most of us are in the same group
2. The group is of screwed over people
3. The leaders only care about gaining and staying in power
4. Why would the leaders find any solution that won't help with gaining and staying in power?