Why doesn't the government treat the controverial issues of homosexuality and abortion with the same set of principles?

I am absolutely lucky in that I have TONS of friends. From every class and race that you can imagine. My social circle is a real menagerie. Even my girlfriend is a different race and nationality than myself.
Some of my friends voted for the president. I love them anyway.
Some of my friends are conservative, as in Bible thumping conservative. I love them too.
But if the discussion turns to homosexuality or abortion, they can get up a pretty good head of steam.
When it comes to homosexuality, I remind them that there is nothing about gay relationships that affects them at all. They can live their own lives and let others have loving relationships, and why do they give a shit. Nothing is lost. Sometimes, they nod in agreement.
When it comes to abortion, I argue that it is none of their business, so ignore it. But they argue that they cannot help but be engaged and enraged, because their taxes are used to pay for the procedure. At that point they cannot be indifferent.

And the truth is, I have no response to that.

So why doesn’t the government simply acknowledge that both practices are permissible, but that the government won’t pay to enable either one.
Wouldn’t that at least cool off part of the debate about these controversial issues? (There is no need to get into whether or not they SHOULD be controversial-they are. Get over it)

BTW. Somebody will say the Hyde Ammendment prevents taxes from paying for abortions. But people I know in the subsidized community health field tells me that this is not true. My friends are correct on that one.