You could use this exact argument to say nobody should ever have children-- children also raise inflation, home prices, etc. And the majority of your property taxes go specifically towards programs which would be unneeded if nobody had any children.
The fact that naive anti-immigration arguments can be copy-pasted unchanged into arguments against having children is a sign that maybe those arguments are stupid. To understand why, you might start with the fact that immigrants also purchase goods and services, and hence pay the salaries of the ~70% of people in this country employed in some way or another by consumer spending.
Children are future taxpayers the majority with parents who were not a tax burden --net positive tax contribution. People without Children benefit from the taxes paid by the children of people who rear children -i.e. people without children aren't "cashing out" their tax contributed retirement --that contribution went to other retirees.