I think you should take your first post, edit it to leave out the stuff about the specific call and reaction, and print out a copy as your Coaching Philosophy. Hand it out to every parent at your next practice. And next year, make sure to hand it out to everyone who is considering your team. You might want to throw in a comment about when you will and will not contest a call, and why. You might also want to take it up with the league to create a policy of how to deal with complaints about bad calls--who issues a final judgement and time limits (at most 24 hours after the meet; preferably before it is complete). Might want to throw in something that is done in some other sports. If you want to contest a call, you have to put up $$--usually $25 or $50, depending on the sport--if a protest is upheld, the $$ are returned; if not, they are not.
I think your attitude about coaching is fantastic!