These white people intended to continue with the use of their segregational system of schooling and deeply feared as well as resented the idea of desegregation or integration with what they considered to be lesser races. They wanted completely separate schools and any avoidance at all costs of any inter-racial mixing in their community or educational system. Their message basically said, you stay on your side of the community and i’ll stay on this side, now keep to your designated side.
On the other hand, the few African American students hoped to successfully integrate or introduce these schools to integration with great strides and little conflict to be instigated.
The leaders, so to speak, in the community who tried to enact the law were pushed into a corner with the larger white populace coming in to make a big show with their white response of boycotting the schools themselves. The bigoted populace were determined to keep them from putting Brown v. Board decisions into action at any and all costs.