You're right, you do pay an extra fee to use public transportation. We won't mention that few, if any, transportation agencies so much as break even.
There is a big difference because it's very easy to move to the next town. I grew up in a neighborhood where property taxes went toward garbage collection; I now live in a town where you have to pay a fee for garbage collection OR take it yourself to a nearby landfill. I grew up in a town that had transportation; I now live in a town that does not. I don't live in a rural area, either. Get the picture?
If a federal healthcare plan is instituted, I have no choice: I must pay $X to the government to provide Y services. I can't move to another town, I can't decide to opt out, I can't decide that hey, I have enough money so screw insurance. The difference between me paying for a service out of pocket vs. the government taking it from taxes is choice: in the former, I CHOOSE to purchase a service, in the latter, I'm FORCED to purchase a service.
Different communities have different ideas of the roll of local governments in their lives, and that's fine. But this sort of role is NOT left to the federal government. Ergo, using local government services as an example to support a federal healthcare plan is retarded.