Um... You can't, (or shouldn't,) force people to pay for things they don't believe are right. I know this may sound extreme, but I hate funding medicine and doctors when I believe they're wrong. I'm sure I'm not the only one. Why don't we create a program that helps pay for peoples firearms, so they can protect themselves? Where is the line drawn, hugh?
Well, I find the creation of a military to be intrinsically wrong, so I demand that you help me end federal funding of the military. Is that an acceptable line for you? In fact, I find the entire concept of me being taxed by the federal government and its existence to be intrinsically wrong. Bold enough for you yet?
Your premise is based on one of the minority should gets its way, but the question is how big a minority? 40%? 25%? Just one of us? When the majority elect representatives who they expected to fund the likes of healthcare and education, they should expect to get it because the notion of democracy for changes such as these is that only a minority large enough to constitute a majority is good enough.