If this is not what you actually mean here, aren't elections what would go for "picking a competing ISP"?
No, in elections (as we know them), you are picking the government that other people will be subject to. What we want is for each person to be allowed to pick their own government. Example: when George W. Bush won in 2000, it was immoral to force everybody to be subject to his government; people should've been allowed to be under a competing system run by Gore instead, if that's what they really wanted. (Personally I'd pick neither.)
As I said above, the system you promote is already here. Though it may look very different from what you likely dream about, but the staples are present there. And even if you prefer to remain neutral you can secede and fly to Antarctica which has no government and is considered politically neutral...