This seems unjustified. Your statement assumes (a) Support systems in the community are run only by religious people. This implies (b) Non-religious people do not run any community programs.
Assuming (b) is true (which it may very well not be), the question that needs to be asked is, why do non-religious people and institutions not run more community programs. Not rail against the religious people who do.
Disclaimer: I am not American.