Please don't equate non religousness with lack of morality and anarchism. That's just as offensive as the ridicule your are decrying.
I must quickly respond to two of your points:
1. Your implication that many hold the belief that only what we can see and touch is true is innacurate. Noone can directly see or feel that a star is a gaseous ball millions of miles away but I doubt anyone in this thread would deny that's what stars are.
2. Your characterizations of the big bang and the evolution of the universe as being "random" are also not accurate. Just because we don't know why certain things are the way they are doesn't mean it must be random. Just as rolling a die is not random despite how it appears. If you knew all the starting factors (starting angle and velocity, friction of the table, weighting of the die, etc) you could calculate how the die would end up before it was rolled.
I don't mean to insult you in any way but I just wanted to inform you that you may be unintentionally joining in a practice which it seems you do not condone. I think if many religous people simply stated, many of their beliefs were scientifically unproveable or even sometimes illogical, but never the less felt undeniable to them and helped them to lead more fulfilled and enjoyable lives, there would be a lot less animosity between the religious and non-religious groups.