The new presidents of Egypt and Yemen — both of whom were swept to power by uprisings demanding democratic rights — issued clear rebuttals on Wednesday to President Barack Obama’s ardent defense of Western values at the United Nations, arguing that cultural limits on rights like freedom of speech had to be respected.

President Mohammed Morsi of Egypt, who billed his 40-minute speech to world leaders as the first by a democratically elected leader of his country, condemned the violence stemming from a short online video that insulted the Prophet Muhammad and led to numerous deaths, including that of the U.S. ambassador to Libya.

But Morsi flatly rejected Obama’s broad defense of free speech at the U.N. a day earlier, saying that “Egypt respects freedom of expression, freedom of expression that is not used to incite hatred against anyone."