My thoughts on one player/party controlling the goverment is NO.
Reason for such is because that is putting to much power into the players hands and as such could make game play less appealing.
Players would start banning people they dont like from the section of space they command.
If a player were to govern the house they would have to be 100% biased of all players and follow through on everything. As stated I think that is just to much responsibility for one player to have.