HZ, Bolshevik Israeli textbooks are naturally going to try to make religious Christians look bad just like they make religious Jews look bad. The only religion they paint in a positive light is Islam.
Odds are you are right and the term is taken from a bolshevik textbook. In Israel we have a strong propaganda against accepting support from any kind of right wing Christians on the pretext that they don't really support Israel but try to either convert the Jews or promote war with the Arabs so that the apocalypse would come. It doesn't matter what they say or do, the bolshevik stick to the claims, while at the same time they have no objections for "aid" by left wing Jew hating organizations.
We also do have extensive missionary activity in Israel by J4J and the likes. The bolsheviks don't speak against these organizations but there are good Jews (mainly Haredi like "Yad Le'Achim") who battle the missionaries (J4J Christians, as well as any other type, like new age cults).
PS the term itself "Neo-Gentile" doesn't make much sense in my mind. If gentile is supposed to mean what in Hebrew we call "goy".