In such a marriage even that woman's cooperation is not truly submitting as unto the Lord. Domination nullifies choices. I learned by studying the definitions in the original Greek language that true, Biblical submission is a yielding surrender. It is an act of one's own accord. Biblical submission submits to another from a position of strength, not weakness.
Submission can be frightening to women whose yielding in the past has produced only domination.
However, if we endeavor to yield to the Lord, trusting Him, He can, in time, enable us to yield to those He places in relationship with us. In the Greek, the word for submission is hupotasso . In the active voice, it refers to a military term as one would submit to a commanding officer or as a conquered enemy would submit to a victor. I've heard sermons preached using this definition in the active voice. It signifies a choice on the part of the one submitting.