Both religions worship one God, but the philosophies of each religion are quite different. There isn't much similarity at all.
There are no Jewish Christians.
Judaism is the religion that was a precursor to Christians. The early Christians, namely the apostles, were Jewish because Jesus was still alive and Christianity had not been developed yet. Jesus himself was Jewish.
Jews worship the same God as Christians and Muslims.
The majority of people who refer to themselves as "Jewish Christians" have zero Jewish heritage, they are mainly Christians.
Hannakuh, the Jewish Festival of Lights is celebrated around the same time Christians celebrate Christmas.
Because they worship the same God.
Because they worship the same God.
The first Christians were Jewish.
Santa is associated with Christmas and thus associated with Christians. Santa has nothing to do with the Jewish religion at all.
Christians believe that Jesus was the Jewish Messiah. Jews disagree.
No.
They didn't.