I completely understand the concerns of the OP, perfectly reasonable IMHO.
Whether one wishes to recognise it or not racial profiling and targeting does occur unfortunately.
However I agree with a number of posters that just explaining to the police officer where you are going and why you are carrying the 'tools' should be enough.
Having your ticket and some info about the moot couldn't hurt but is probably overkill.
Personally I abhor the thought of having to justify myself or my actions if stopped and did look into the actual powers of the police if they stop you.
You may be surprised to learn exactly what information you are required to give, it's probably not as much as you think.
However I also appreciate that I am luckier than some in our society in not being actively targeted for stop and search.
Also although I have looked into my rights if stopped, I'm not sure if the event ever occurred I wouldn't just comply with the officers for an easier life.
Finally I think we should all try to be more understanding of others views, I think it would surprise a lot of us to spend a day walking in someone else's shoes, to understand how they see the world and how the world sees them.