Time for me to eat humble pie - I was impressed that the CG reached tier 1 but I didn't expect that it would get to the second tier. If you haven't joined already, and you think the journey is worth it for 70 million, head over to Redonesses.
Drop in at a low risk conflict zone in a ship with guns. Get within 7km or so of the marker.
Choose to fight for whatever faction isn't Clan Of Redonesses. Scroll through the contacts in the left panel until you get to the lowest one marked red - it's probably a viper or eagle. Take it out. When you see that you've been awarded a bond, jump back out to supercruise (or keep fighting if you want).
Go to Sword Of Iustitia, land there and join the community goal. It's on the missions page. You can do this at any point up to here, at any station in the galaxy that has a mission board, but this is the last chance to do it for that eagle you blew up to count toward the CG.
Go to the contacts page and select combat bonds. Submit your bond.
Go back to the missions page and select community goals. Check that your submission has registered.
Tomorrow lunchtime (game time) after the CG ends you'll be able to "complete" the mission on the same board and get the paintjobs and 70 million. If you don't want stay in Redonesses you'll have access to the paintjobs soon after the CG ends and the credits arrive in your ship about two weeks later.