Rohdes: Nothing. If you are pointing to their former affilitation to World Govt or Marines then Gasparde, CP9 members, Shiryuu and X. Drake had some form of affilitation to World Govt or Marines and have deflected since then. But Lafitte was a peace keeper in West Blue and had no association to Marines or World Govt. Zoro was a bounty hunter and only was in the business cause he got lost. He did not care for Marines or World Govt
They all worked for the law in some sense, either as Marines, gaolers, policemen or bounty hunters.