::::How is the person's status 'Judaized'?  They still speak arabic (one of Israel's official langauges) and are free to worship whoever they want.  It doesn't even satisfy your own definition of 'Judaize', although it does satisfy an obvious definition of 'Israelize'.  For instance, we don't say that someone is 'Christianized' when he becomes a citizen of the UK, even though it is the de jure state religion (and Judaism in this case is not even the state religion of Israel).