Honestly, I'd say roll with it and if you get pulled aside for it, ask the cop for suggestions and if seems like it will be a problem going forward, then just ditch it until you get to someplace that has less assholes and then get another one. haha
If you have other gear that it blends in with and doesn't look out of place, that's a little different than some of the tweakers ya see rocking a machete just because.
There are alternatives to chainsaws and axes/hatchets. A rubber mallet for stakes is much less likely to be considered a weapon. As for a saw, there's those pocket saws that you pull back and forth. I find them more useful breaking down dead branches than a hatchet personally. I also have a folding hand saw. In my camping box, I have a hack saw and bow saw, but those could be misconstrued as thieving tools I'd assume.
Just some food for thought.