Star of David didn't exist until about the 17th century. In the first century AD they would have been out of place simply because they didn't exist.
Really? How do you explain the following?
From Star of David
The Shield of David is not mentioned in ancient rabbinic literature. Notably, not a single archeological proof exists as yet concerning the use of this symbol in the Holy Land in ancient times, even after King David. Scientists say, that it probably was not a widely recognized symbol in the Israel of the Second Temple era. A supposed David's shield however has recently been noted on a Jewish tombstone at Taranto, in Southern Italy, which may date as early as the third century CE.
The earliest Jewish literary source which mentions it, the Eshkol ha-Kofer of the Karaite Judah Hadassi (middle of the 12th century CE), says, in ch. 242: "Seven names of angels precede the mezuzah: Michael, Gabriel, etc. ... Tetragrammaton protect thee! And likewise the sign called 'David's shield' is placed beside the name of each angel." It was, therefore, at this time a sign on amulets.
>>Star of David didn't exist until about the 17th century. In the first century AD they would have been out of place simply because they didn't exist.<<
I don't know where, but there is a Polish Joke here somewhere!