There are several different sects in Islam that branched off for
different reasons. Please see the Related Questions below for a
discussion of the differences between most sects of Islam and an
in-depth discussion of the difference between the Sunni and Shiite
Sects of Islam.
No. Most sects of Christianity do proselytize, but not all.
Almost no sects of Judaism proselytize. Most sects of Islam,
including controversial sects like the Nation of Islam and
Ahmadiyya, proselytize, some sects of Hinduism also proselytize,
and in Asia, several sects of Buddhism actively proselytize.