While you make an example of a Trading Faction and a Police faction - which are usually without a strong connection, the National Council of Malta and the Oracles of Malta have a strong connection. The NC is the political institution, the Oracles a religious institution, and in this case Mercier/Mercante is leading the NC's CID while being a member of the religious institution of the Oracles of Malta. That's actually a reasonable connection. However, what you suggest is also possible, as nothing prevents you from playing a lobby-ing corrupted Police officer. However, do that with RP background.