I have never heard of a red/white belt in judo. Also, I would suspect him to be more versed in Russian sambo. (Very similar but with more leg locks and a few more submission moves.)
In regards to telegraphing his ccw, I don't think the average person would ever pick up on it. That said, I think he is one of the toughest (physically and politically) leaders alive today.
He is a reminder of the old Cold War era U.S.S.R and how serious things were with the Communist. A stoic 1000yard stare from him could make many people fall in line with his agenda. (If that didn't/doesn't work a less stoic 100 meter shot from a dragunov will for sure.)
In nearly every aspect, Russia has always been a harsh and formidable place. Whether their status is that of an enemy or an ally, the Russians have always been strong and deservedly respected for their strength, courage and toughness.
We need to work on cloning Reagan just in case, Putin decides to role out the "red" carpet again.