Regarding:
And if you fear dissension between the two, send an arbitrator from his people and an arbitrator from her people. If they both desire reconciliation, Allah will cause it between them. Indeed, Allah is ever Knowing and Acquainted [with all things]. -- Qur'an 4:35
I'm wondering how this is ordinarily implemented when marital problems arise; just an general outline of how one would go about this.
Question: When marital problems arise, how is arbitration as per Qur'an 4:35 conducted?
It might be a simple process of getting their respective family members to chat it out (which might be difficult to organize mid-dispute), but I'm unsure. There's services such as Muslim Arbitration Tribunal, which writes:
MAT also provides mediation services for married couples or families who are experiencing disputes in the following: dowry, children of the marriage, family matters, etc. MAT will instruct two mediators from the panel to listen to both sides of the dispute and will endeavour to reach a decision which both sides are in agreement with.
But this doesn't seem in accordance with Qur'an 4:35, with both parties appointing arbitrators from their respective parties.