Submitting yourselves one to another in the fear of God... Ephesians 5:21

 "Aha!" they say. "There we have it! We are to submit to each other. Mutual submission!"

 What they fail (or refuse) to see is that Ephesians chapter 5 continues. Ephesians 5:21 makes a sort of introduction... a topic sentence, so to speak... and then it goes on to tell us how we are to submit:

 Wives submit to your husbands (Ephesians 5:22)

 Children obey your parents (Ephesians 6:1)

 Slaves obey your masters (Ephesians 6:5)

 Remember, there were no chapters or verses in the Bible. It was all one text. Paul began his thought by saying we should submit to each other, and then he explained the correct order (or chain of command) in which we are to submit.

 No one argues that a parent should submit to their children, and it is ludicrous that a master would submit to their slaves. They do argue, however, that the Greek word used to describe a child's or a slave's obedience (hupakouo) is different than the word used to describe a wife's submission to their husband (hupatasso). Why this matters I do not know since both mean being under the authority of another, but just for the sake of argument, I'd like to point out that the word hupakouo IS used in example as to how a wife is to obey her husband in 1 Peter 3:6.

 Add that to the fact that a wife's submission to her husband is reiterated in Titus 2:5 and Colossians 3:18, I have a hard time understanding how any case could be made for mutual submission.