Is it your view that just because the state pays for something the public has every right to do whatever they want with it?

This seems obviously false. Try walking into the petagon some time proclaiming "the public paid for this military base and therefor i have every right to participate in it." And see how far that gets you.

You can absolutely protest outside a military base and hurl insults at the soldiers if you believe it is a waste of taxpayer money.

The taxpayers pay for the inside of the military base, not the outside.

But not at the Tomb of the Unknown Soldier.

Are you implying that people who protest military spending should "obviously" be arrested or hurt?

> The public paid for this funeral, and therefor they have every right to participate in it.

Since when? This seems like a misunderstanding of how taxes work. Taxes pay for a lot of things which taxpayers have no right, or even access to.