Does this look quiet, peaceful, nondisruptive?
And the struggle didn't stop after formal integration, once the Civil Rights act had passed. Because even when they are legally required to serve you, they can make you really fucking uncomfortable and threaten you and the cops probably will take their side.
For one example, there was a cafe that would serve Black people, but would then publicly break the dishes so that no white customer would ever have to eat off a dish a Black person had eaten off of. This was done publicly, right as the Black diner was done eating. The waitress takes the plate and smashes it. This is a signal both to the white diners "see, we hate them just as much as you do, you're safe here" and also a threat of violence to the Black diners. "If you're not careful we'll smash you just like we did this plate."
But at the same time, if Black people go there and eat every day ... how long before the cafe can't afford to do that? How long before they have broken so many dishes that it's eating into their profits? How long before the white diners start getting used to eating alongside Black people and simply don't care as much any longer, or start getting annoyed at the noise and fuss and mess?
Black people eating in white establishments was loud, inconvenient, and disruptive. Because that's the nature of challenging the status quo.