So you're saying Cerberus would have captured it at the Crucible? Right.
Had they shared it sooner, Cerberus would not have gotten hold of it. The only reason they did was because Thessia was already under attack - they wouldn't have been able to simply send a cruiser to a planet which was bracing for an invasion, march in there and take it. If Cerberus never got hold of it because it was relocated to aid the Crucible project, then the battle for Earth and all casualties incurred therein would never have happened - the Crucible would have been deployed while the Citadel was still located in the Serpent Nebula.
Ok you're just going on a imagination spree here. It is the way the guys wanted to tell the story. They wanted the illusive man to do this, end of story. If you want to construct your story go ahead.
As I said before, it is depicted very realistically, the asari didn't even believe the crucible would work, they weren't even considering it as an option, later they changed their minds. I don't know how you depict the perfect war would go in your opinion, its the chaos and the humanity that makes ME3 so good.
The asari aren't bad, its how every one is. Every species would have done the same. And did. There is no logic in war.