Ugh, I'm not sure. Did Nazi Germany also hunt Muslims? The USSR had a significant Muslim population in a number of republics, but otherwise, Germany had a higher standard of living and not all citizens were threatened to "disappear".
All that said, wasn't Stalin antisemetic as well? For sure he didn't carry out a Holocaust and the USSR was a lot safer for Jews, but I know that shortly before his death he accused Jewish doctors of a conspiracy against him. That was entirely bogus, but they would have been killed if Stalin didn't die just in time.
No, but there were hardly Muslims in Germany. Most Muslims who didn't convert from another religion were either from what's India/Pakistan now or were Osmans/Bosniaks, I think.
The first Mosque in Germany was opened in 1924 in Berlin-Wilmersdorf, and Muslims didn't face any persecutions. The first Muslim marriage in that Mosque happened in 1934 (so one year after the Nazis gained power), and there were actually many people of other religions who converted to Islam, especially Jews, who did it to avoid persecution.
The Nazis even used the local Muslim community to spread its antisemitism. The Grand Mufti of Jerusalem, Amin al-Husseini, spread antisemitic propaganda in that Mosque and actively recruited Muslims from occupied territories into the SS. The first German translation of the Quran was published in 1939 - six years after the "Machtergreifung" and one year after the Night of Broken Glass.
Still, it should be noted that the Islamic community in Berlin secretly helped Jews to escape into exile - especially since there was a relatively good relationship between the Islamic and Jewish community in the 1920s.