You fail to understand that the word "Byzantine" is associated with the Eastern Roman Power whose capital was Constantinople. The Eastern Roman Empire made Christianity the state religion in 380 AD. As I have stated many time.
The Western Roman Empire (where Italy was located) was not affected, in fact the Western Roman Empire was on its last legs and fell in 426 AD.
You just fail as you claimed that the roman empire ( before the byzatines) forced the Jews to convert to Christianity or leave their homes. Now it has been shown that you LIED you are moving the goalposts.