IF WE BOTH WANT A DIVORCE, DOES IT MATTER WHO FILES?

If we both want a divorce, does it matter who files?

No.  In the eyes of the court, the Plaintiff (the party who files the petition initiating the divorce process) and the defendant (the other spouse) are not seen differently by virtue of which party filed.  The court, as a neutral decision-maker, will not give preference to either party.  Both parties will be given adequate notice and each will have a chance to be heard and present argument.