That is absolutely false. The government's job is not to tell anyone how to live. It is to defend your rights. It is not to keep you safe, prevent people from doing things that offend you or create the perfect society.
By allowing government to set the standards for society you are actually part of the problem. Government will NEVER agree to your views on what society will be. They will come to some consensus which furthers their own power. That's what they do. So, perhaps for about 15 minutes they'll do things exactly the way you like, and then off they'll go on another tangent.
This same government that you expect to create the perfect sinless society for you today won't even allow a mother into a clinic to talk to her 16 year old daughter and prevent her from murdering her child.
But for some bizarre reason you think that they'll do your bidding and punish homosexuals.
Absurd. "Government is not reason, it is force! Like fire a dangerous servant and a terrible master." - George Washington.
That's why Washington believed that this nation should be governed by a people who believed in the Christian concept of morality. If it isn't, it is doomed to fail.
Can't you see that the kind of moral void that you want will lead to tyranny? Actually, it won't lead to it. It will require it.
Shalom.