I came across a youtube video by Pastor Gabriel Hughes that exemplifies the complementarian position. There are two competing messages in the video below:

We believe in solid Bible based theology, and therefore women are not to be in leadership. This theology is good because a woman approves!

In theory complementarians have only partially gutted 1 Timothy 2:11-15. But as the video demonstrates, the underlying sentiment is one of theological obedience to women and feminism. What the CBMW founders called the traditional reading of the passage is rejected out of hand in the beginning of the video for being unacceptable to modern women:

After presenting the new and improved reading of the previously offending verse, the narrator then goes back and asks the wife if she approves:

This is how we know the narrator has arrived at the correct theology.

Bonus frame: No complementarian capitulation to feminism would be complete without the obligatory call for men to step up: