Israel was the name of a kingdom, and this mythical kindgom was founded by a specific Jewish person (saul/samuel), and was intrinsicly a jewish first kingdom.
That is quite different from saying some other kingdom existed with a different ruler, with a different name, at a different time and in a different place, that was a mix of arabic and jewish population.
The first invasion of Rome in regard to Judae was the sacking of jeurselem in 63 BC and the conquering of the surrounding area. Before Judae became the province of judae of rome it was actually called both palestine and judae by the people int he region since it was a mix of both and there was **not** a clear jewish rule there at the time.
This period is called by historians "hellenistic palestine", however the jews, called the same redion Judae and thus jewish scholars refer to it by that name. It was **not** a jewish kingdom , it was a kingdom of mixed heritage.