You are supposed to receive the authority of a rabbinical court, not a civil court.

For two reasons:
A. You claim that morality has no validity without a divine legislator. According to this, you should not consider a civil court that decided to invent laws (though logical, but still a human creation) as having any validity, but only as a court that has received divine authorization.
B. From a halachic perspective, is there no problem going to non-Jewish courts?