A system involving a judgement for determining preceived wrongs against another is a necessary vehicle to provide a remedy and serve peace within our shared experience as a community of believers.
If the matter involves a secular party (carnally-minded) and a born-again (spiritually-minded), then any secular meditation/arbitration or civil court system seems highly appropriate.
If the matter involves two parties (or more) where all entities profess that they have entered into newness of life; being born of the Spirit, (and this claim has no basis for dispute by the other party) then they should submit to the course of action Matt 18:15-17
Moreover if thy brother shall trespass against thee, go and tell him his fault between thee and him alone: if he shall hear thee, thou hast gained thy brother.
But if he will not hear [thee, then] take with thee one or two more, that in the mouth of two or three witnesses every word may be established.
And if he shall neglect to hear them, tell [it] unto the church: but if he neglect to hear the church, let him be unto thee as an heathen man and a publican.
Interesting that at the culmination of this process, we seem to have an answer as to WHEN we can treat a brother or sister according to secular humanistic wisdom....and remedy.