I think that might be your misunderstanding of noo religious people. They are not basing their morals on the government or society. They are self establishing morals based off of life and happiness for themselves and their fellow man.
Religious people are blindly following a set of rules on the belief it will lead them to happiness in the next life.
Non religious people don't have a set of rules that they need to follow and think everyone else should follow. This leads to being kinder to your fellow man in general and kinder for a reason beyond following rules. Obviously there are a large amount of variables within every individual.
To me, the essential claim of Judeo-Christian tradition is an objective, sometimes of rarely demonstrable "God" known in the Old Testament as Jehovah. If people, anyone, chooses to place faith in that God, it is claimed there is a covenant available if you wish to serve that God and His People, or mankind in general, bearing that name.
Islam builds, either parallel or sequential claims out of the Abrahamic covenant, as some may consider it.
Other religions do not identify the "person" or specific entity of "God" generally, but attribute the underlying essence of Nature to the God they worship.
In many cases, these beliefs bring with them specific moral imperatives which do make a difference in the life path and choices and moral values which they follow. But I would hazard an estimation that what you describe as negatives of religious faith may apply quite well to some, and perhaps to many of the less-thoughtful followers who have not done much deep reflection on the faith they claim.
I believe there are some, a few, who have particular and reasonable experience that justifies their belief. If you do not have that kind of reason, you are in no position to make a valid judgment on those particular cases. Let's say, for example, the case of Moses, who certainly wasn't looking for the visit from God in Sinai at the time of the "burning bush" episode. I don't think my own experience is much different, and there is no way I'd just say "Go to Hell" to the God I know.
So anyway, I hope you would consider the implications of too strong an opinion that may drive you to acts of religious intolerance or acts of specific persecutions or maybe to enjoin government action against any "religion". If you give any government that power, you are also giving that government the power to exercise control of more objective beliefs or societal practices.
In general, I think leaving people free to think and have opinions is essential to good government.