Kung-fu handshake

I need to practice gripping harder when I shake people's hands. My gentle nature makes it so that my natural instinct is to lightly grab someone's hands when they offer to shake. Unfortunately, because of society, a gentle shake is considered "wussy" or "submissive", so from now on I am going to squeeze with all my strength. In fact, I'm even considering clasping my other hand over the handshake as it is in progress so I may exert double the pressure. Now who's submissive??