It's exactly what it sounds like: Opposition to those who harbor anti-Jewish views and opposition the anti-Jewish views themselves.
The difference between anti-anti-Semitism and Philo-Semitism (lover of Jews) is slight. A Philo-Semite usually makes proactively positive arguments (i.e. Jews are good because they win more Nobel Prizes per capita) whereas an anti-anti-Semite refutes anti-Jewish arguments (i.e. the racial theory of Judaism makes little sense when there are White Jews, Arab Jews, Black Jews, and East-Asian Jews). However, many anti-anti-Semites are also Philo-Semites because they will mix the positive arguments with the critiques of negative ones.