We force our personal beliefs on society all the time. That's what the law does, every single time. We force people to wear seat belts, we force people to not smoke in public places, we force people to buy automobile insurance as a condition of using public roads, we force people to not litter, we force people to obey red lights, and so on and so forth.
The question is not whether we should force our beliefs on people. The question is which beliefs to force on people.