The clarinet is only a higher pitched somewhat skweaky sound when the high notes are played (kind of like a soprano sax). The clarinet’s lower notes are rich and sonorous, and the bass clarinet is a warm, unassuming instrument (very suitable for bnei Torah, LOL).
The clarinet is much more versatile (as was mentioned) – klezmer, orchestral, jazz, wind band, woodwind quintet…
There aren’t many orchestral pieces written with sax parts, for example Night on Bald Mountain and Lt. Kije Suite, which are very nice pieces, but the clarinet repertoire is much richer. And no, I don’t play clarinet, or sax.