No, states should not be allowed to block funding to certain health organizations because in many states, their decision will be motivated by religion. The separation of church and state must be upheld, so if certain states block aid to organizations like Planned Parenthood, they are not upholding the Constitution.
What's next? Cutting medicare funds to a doctor who writes prescriptions for birth control? Nobody wants to see abortions happen but these efforts to block women's health services in the name of the pro life movement are becoming absurd and almost comedic. You know what would really stop abortions? Take those dollars and use them to take care of mothers during pregnancy a la the 50's - offer them a vacation where those woman who can take the time off can receive rest, health care and emotional support as they prepare themselves for the adoption process.
No, states should not be allowed to block funding to certain health organizations based on whether the organization provides abortions or not. Personal opinions can not enter the situation when public funds are being used. Abortion is a legal activity, upheld by the Supreme Court. Therefore, funding cannot be stopped due to an organizations affiliation with abortion.
No, I do not believe that states should be allowed to block funding to certain health organizations. I would like to use the example of Mississippi wanting to ban Medicaid expenditures to companies that provide abortions. Supporting or being against abortions is often a very personal and sometimes religious opinion for someone. Every resident of a state is not going to agree to be one on side of the matter, so what right does the state government have to make that decision.