In what ways are some local executive branches structured in a similar manner to state executive branches, and in what ways are some structured differently?

It is written in the constitution saying all beliefs are allowed in the u.s. justice will be surved to everyone no matter what the color of that person is. and that all people are equal not matter there color is the u.s. that was a lie though because black people were still treated poorly, and there were places that was white people only such as hospitals, schools, bathroom, and more.