That is a later development. In the first millennium AD there were active attempts to export Judaism, the most famous result of which was the conversion of the Khazar kingdom to Judaism. And the very etymology of the word “proselytising” refers to Judaism making some inroads among other inhabitants of the Mediterranean.
Fair, it happened occasionally. In most cases where it’s well-documented, though, it seems like it was more realpolitik than the sort of “spreading the good word” approach of the other monotheistic faiths; AIUI the details of the Khazar case are a bit of a mystery.
That is a later development. In the first millennium AD there were active attempts to export Judaism, the most famous result of which was the conversion of the Khazar kingdom to Judaism. And the very etymology of the word “proselytising” refers to Judaism making some inroads among other inhabitants of the Mediterranean.