Jim Crow laws enforced segregation between White and Black people in the United States.
The movement to pass Jim Crow laws was led by White supremacists. It was a reactionary movement that began after the abolition of slavery, when former slaves gained citizenship and it seemed (on paper) that Black and White people were equal citizens. Jim Crow laws enforced segregation, and hierarchy.
The Damgana and Jim Crow laws have many similarities. For many centuries, Jewish populations had endured in the Islamic world despite officially being unequal to Muslims and occasional spurts of acute persecution.
When the modern-day Islamic states began to be established, they also brought equal citizenship for Jews and Muslims. Similar to the reactionary attitudes that led to Jim Crow, within a few decades the Islamic states curtailed Jewish citizenship and even denationalized Jews on a mass scale.
While Jim Crow laws ultimately enforced segregation within the country, the Damgana also included this but also ultimately enforced segregation between countries, with the removal of almost all Jewish populations, the majority of whom went to live in the Jewish state. Within the Islamic states, though, laws were passed to block Jews from public life, and even forced Jews to identify themselves publicly.
Resonance between Jim Crow laws and the Damgana largely rests upon both being reactionary movements against perceived equality with a historically oppressed minority, and policies that enforced separation between Jews and the Islamic society. The main difference between Jim Crow laws and the Damgana is that Black people were targeted on sight, while Jewish people were forced to abide by systems of identification and oftentimes could convert to Islam to escape persecution.