Here's my non-attorney take on it. Some Defense attorneys are sleaze, but most are good people who like to do a good job. IMO, ICA's case is a no-win, and a responsible attorney would have worked very hard to explain that to her, and to also explain how if she made a plea deal she could probably get 20 years, but if she continued to fight this, she would probably face the death penalty.
I don't have the stats, but I do know a lot of women kill their kids, and a LOT of cases are so much worse than this one, little babies tortured and beaten for their whole lives before they are finally killed, and very rarely do these women end up facing death row.