I would say no, there are no religions who's members are able to take upon themselves a celestial attribute. For all fall short of the glory of God.
A religious group can be called a sect. A religious group can also be called a congregation when all attend the same church. A religious group might have more than one sect, or group of individuals, like the Amish.
Shakers are a nearly extinct religious sect.
A sect is defined as a subdivision of a larger religious group, so the answer is yes.
The Quakers
A sect is a group with distinctive religious, political or philosophical beliefs.
Maryland was founded as a Catholic colony, so it was a haven for members of that religious sect.
The Jews.
The Puritans.
how do you show respect for the religious practices of different religious sect
Some advantages would be meeting religious people just like you, as well as having some people that you can talk to about your religious beliefs, as each sect of Christianity is different in its beliefs and one can only side with their own sect.
A church state - government ran by religious sect is unique in different ways. The administration follows the religious teachings in most cases rather than a constitution made by people.
A small religious community is typically referred to as a cult or sect.