When I grew up the word egalitarian meant you believed in the equality of all people, and your actions reflected your beliefs. It was the opposite of believing that "some pigs are more equal than others."
It wasn't a word that connoted concomitant belief in socialism or communism.
And Yeshua the Christ is not a "person" to me; He is God.
Trinity father, son and holy spirit don't forget. God Bless you though