By "sect" I assume you mean section, in a sense yes its like the same religion.
Christianity, Islam, and Judaism, belong to a larger group called Abrahamic religions.
the formally succeeded from us
Though they stem from a single source, they no longer share the same principles, so I would have to say no; however to provide an example of how I define "sects" in terms of a religion is as follows: Christianity - Protestant, Baptist, Catholic, Lutheran, etc... Judaism - Hasidic Jew, Orthadox, Reformist, etc...
No. They worship a different god. is this not reason enough?