Simple answer is to set each alt jersey palette (there's 3) to the same colors you set for the primary + secondary colors.
I see.
However, in the case of a game played by +20civs, the jersey system is still going to identify conflict and try to fix it by bringing those ugly random palettes.
I managed to get rid of those, but then the system turns some of the civs into all white for it was not able to find a palette that satisfies it's strange fashion sense.
I believe in such cases the jersey system really needs to be disabled somehow. How?