No offense, but you guys have it all wrong- the chest voice is supposed to be stronger than the head voice. Not overly strong, and not higher than it was designed to go.
The reason is that when you develop your mix, you sing with the purity and lightness of head voice, mixed with the strength of your chest- and it creates one balanced instrument with the head a little louder because of the echoes bouncing around in your skull. If you try to artificially strengthen your head voice, your chest voice will be weakened, so when you go into your mix, it will sound weak and at a low volume until you get through your passagio, and then it will be LOUD AS HELL.
Similarly, if you make your chest voice too strong and too high, it will make your head voice weak when you sing in your mixed resonance register (mix voice).
I have personally tested this accidentally by trying to make my head voice strong It made my chest voice weaker, and now my mix does not sound as powerful, but my head voice by itself does! You want to have a balance, and that means strong but naturally limited chest voice range, and wimpy head voice. The two combined balance each other out and you get an amazingly loud singing voice in mix.