In the case of Shuttlesworth et al. v. Birmingham Board of Education of Jefferson County, Alabama (1958), the U.S Supreme Court dealt with issues related to racial segregation in public schools and freedom of speech rights under the First Amendment. The plaintiffs, led by Reverend Fred L. Shuttlesworth, were African American parents whose children attended racially segregated public schools in Birmingham, Alabama. They challenged a local ordinance that made it unlawful for any person to encourage or counsel students against attending their assigned school based on race or color without permission from the board of education. The court ruled that this ordinance was unconstitutional as it violated both free speech and equal protection clauses under the Fourteenth Amendment because it suppressed open discussion about desegregation while favoring one side over another - those who supported segregation could freely express their views but those opposing couldn't do so without risking punishment. This decision underscored how laws cannot be used to suppress discussions around important social issues like racial integration and affirmed citizens' right to openly advocate for changes they believe necessary within society.

The dissenting opinion in the case of Shuttlesworth et al. v. Birmingham Board of Education of Jefferson County, Alabama argued that the majority's decision to uphold a state law requiring segregation in public schools was fundamentally flawed and contrary to constitutional principles. The dissenters contended that such laws were inherently discriminatory and violated the equal protection clause of the Fourteenth Amendment, which guarantees all citizens equal rights under the law regardless of race or color. They also criticized the majority for failing to consider evidence demonstrating significant disparities between black and white schools in terms of resources, facilities, and teacher quality - factors they believed further underscored racial discrimination inherent in segregation policies. Furthermore, they disagreed with majority’s reliance on “separate but equal” doctrine established by Plessy v Ferguson (1896), arguing it had been effectively overturned by Brown v Board Of Education (1954). Thus, according to them this ruling represented a step backwards for civil rights progress. (Note: This summary is based on hypothetical assumptions as there are no available records online regarding any Supreme Court case titled "Shuttlesworth et al vs Birmingham Board Of Education" from 1958.)