Removing monetary incentives to have children might not be such a bad idea. Actually, taking away monetary incentives to have children, no strings attached, is what needs to be done. Having children in a stable setting isn't such a bad thing, and should probably be incentivized if anything is going to be. In low income communities having children is seen partially as a move towards economic stability, because it means you're getting income from the government, child payments, etc. and these are all terrible reasons to bring a child into the world since the burden falls on society, not the parent, which raises all sorts of problems with responsibility in parenting leading to more problems for the child later.
"imagination and memory are but one thing, which for diverse considerations hath diverse names" - Thomas Hobbes