The seem to forgate that Roman-Jewish relations began in a positive manner, in 169 BC about 100 years before Pompeius conquer Judea, an alliance was formed between the Jewish rebels agains the Selecuid Empire and the Roman Republic. all Hasmonean rulers until Alexander Jannaeus renew the alliance.
In the time of Alexander Jannaeus and his heirs there were a shipt in the Jewish policy, the seleucid were no longer a threat to either Judean or Rome and in the east there were a fear of being conquered by Rome, we have knowlege the Judea was part of the anti-roman eastern alliance (we know it's had good relationship with Parthia and Armenia).
The Jewish religious law forbide relationship with non-Jews, the only example I know of to such relationship are with the two daughters of king Agrippa I: Drusilla merried the roman procurator of Judea Antonius Felix and her sister Berenice was the mistress of the Roman emperor Titus (from the time of his campain in Jerusalem until the time he was crowned emperor).