You would expect
Do you not know that we are to judge angels? How much more, then, matters pertaining to this life! 1 Corinthians 6:3
Paul elevates his psychotic sarcastic rant and now thrusts us into position to judge angels - Angels. Beings that the bible rarely touches on in terms of morality and status. Paul takes aim at the judgmental intellect that the Corinthians seemed to possess (such that they would judge angels), and runs with it - why not settle the disputes you have within yourselves, instead of bringing it to the courts?
I suppose that it isn’t so much the inclusion of secular judiciaries, but the fact that they can escalate an argument by means of an unrelenting intellect of who is smarter - a sentiment I have echoed in the past. Among our Christian brothers (and I would think among non-Christians), the point is not to see who can argue better, but who is right -and if you were so versed in the bible as we are told you are, wouldn’t you be able to come up with an amicable solution?