There is some good advice in Bible but there is lot of crap too and if you choose to cherry pick, its fine. Just keep in mind that your innate morals themselves are making you pick and choose. It was not written for a person in 21st century whose world is unfathomable for the Bible's author.
> I don't claim that you're wrong, but it is very hard to preserve moral values in an atheistic ideology
What do you mean by 'preserve'? Why can't moral values evolve overtime? At this moment, people eat mammalian meat happily without concerning about torture that those animals go through. I have no doubt that 100 years from now, people will look at this tradition similar to how we find slavery now. Slavery was so prevalent(and useful) that there seemed to be nothing 'wrong' with it. No surprise, that Bible didn't mention anything against it. But society evolved and soon it became something unthinkable. Some act which was not wrong, suddenly became very wrong. Similarly many moral values were not 'preserved'. I hope you see my point(literally and metaphorically).