No.
Jews do not celebrate Christmas because they do not believe Jesus was the Messiah. Hence his birthdate is of no particular significance to them.
There are no Jewish Christians.
The majority of people who refer to themselves as "Jewish Christians" have zero Jewish heritage, they are mainly Christians.
the Jewish holidays = החגים היהודים (pronounced "hakhagim hayehudim")
umm... what do you call Hanukkah, rosh hashanah, yom kippur and other Jewish HOLIDAYS? a holiday is basically a celebration on a religion. like Christmas. christians celebrate their religion as well as Jesus or god. and Easter.
same religious holidays for Orthodox Christians.
The menorah is part of Jewish culture, not Christianity. However, many places put Christmas decorations and Chanukah decorations side by side for balance, to avoid the appearance of favoring one religion over the other and in an attempt to not alienate anyone.
The first Christians were Jewish.
No.
The early Christians were Jews who believed that Jesus was the Messiah. As a result, before the Christian church developed its own traditions, the Jewish religious holidays continued to be practiced.
Christians believe that Jesus was the Jewish Messiah. Jews disagree.
There is a book by Morris Epstein (available through Abebooks) called All About Jewish Holidays and Customs.