yes she resents you for many things, hence the divorce.
Plus there are stereotypes to deal with: - men should suffer - women have power now, they've taken it to an extreme and men should suffer some more - men should tough it out and be penniless after a divorce, women should get lots of money because their husbands were the source of all the problems - men support women, women don't support men so men shouldn't ask for child support or alimony - etc. etc. etc.
It's 2009, women & men are equal. If you listen to her about what she feels is right regarding child support, she will take your power away again. She is trying to make you feel small & less valuable by making you feel guilty by taking money from her, don't fall for that trap. If the situations were reversed, she wouldn't hesitate to ask you for child support.
You will use the child support to .... support your children. That's why it's child support. She makes a decent wage, if she has to pay child support it's because that's what she has to do.
I'm surprised child support would even be awarded for joint custody issues where both parents have the children and equal amount of time but if your wife truly does make alot more money than you do, CS is the way to go. She rushes you and uses guilt to make you change your mind, just remember that.