Not jewish, probably reformist jewish. It is a religious subgroup that doesnt follow jewish laws but only keep the jewish label. They are mostly hardcore leftists, and their politics are despised by other religious jews, and even by many secular jews.
Jews = decendants from judea + some converts.
Edomites were canaan nation, some of which joined the israelites during biblical times (with moav people).
Pharisies or "prushim", were a subsect of judeans during the period of the second temple. They had a rivalry with the "tzedokim", the "sedducees". Also existed a smaller more ascetic - monastic sect known as "isiim", "essenes". Some believe that the dead sea scrolls were written by a monk of the isiim.