Female Subordination and Biblical Communism

I was told in a sermon that in a Christian household the man is to rule. It is the man who makes the decisions. When I asked the pastor why this was so he pointed to the bible, which says that the woman should not speak against the man. Just as the church submits to Christ so too the woman submits to the man. The pastor then told me that the reason why the man must rule is because if the female has equal power then there would be chaos. If any group of humans wish to behave well then someone must be in charge. Wouldn't this then mean that Communism is a superior political system to democracy? Democracy in the household means everyone has a say in how the house is run, including the woman. Communism implies centralized control by the man. Therefore, is communism supported by biblical teaching?