It is continually astounding to me how men who claim to be Christian can have such a low regard for their wives. My own father is like that, and I recently met a man who visited our church who is definitely like that. No wonder women don't want to submit!!
Yes, the Bible expressly teaches that the man is the head of the house and that the wife must be subject unto him (Ephesians 5:22-24; 1 Peter 3:1-6). But any man who will be the head of anything, wife or church or job, who calls himself a Christian, must abide under the rules that Christ Himself put into place for leadership. In Matthew 20:25-28, Jesus said to His disciples, "Ye know that the princes of the Gentiles exercise dominion over them, and they that are great exercise authority upon them. But it shall not be so among you: but whosoever will be great among you, let him be your minister [Gr. = slave]; and whosoever will be chief among you, let him be your servant: even as the Son of man came not to be ministered unto, but to minister, and to give His life a ransom for many."
Those two men have it wrong. They think that because they are the heads, then everything must go their way. Jesus is God, and He did not come to make everyone subservient to Him. He came to woo us to Himself, by showing His great love for us, and then to help us walk into the blessings that He has prepared for us. He did not come to stomp us when we stray, but to bring us back to Himself, just like He did the nation of Israel in the Old Testament (cf. Isaiah 50:1).