Why should you receive the Child Tax Credit? (US)

Having a child creates a government need---school, social safety net, ways to help a child in a possibly crummy parenting situation. And that's totally fine. Assuming all things are equal between us however--income, other deductions, etc---if you have a child and I do not, you will pay less in taxes than me yet you are the one who has created the need for more government revenue by having a child. How is that fair? Why should I have to subsidize your lifestyle choice?