Here's a scenario you probably didn't think about:
I (hypothetically) own a farm on a river, where the state wants to put a reservoir.
With the Fifth:
State purchases the land from me. I go buy another farm.
Without the Fifth:
State compels me to give them title. I have to go find land, sell off my livestock and equipment to pay for it, and end up broke.
Yes, that is the Fifth. Last clause of it, to be precise.
As a Libertarian, you should be conviced of its importance by now.
OK, OK, I'll give you something that's relevant to the right of silence as stated in the Fifth Amendment. Example is drawn from the previously linked video (Never talk to police), but modified because I know this context.
I buy gas with cash, and so I often have no proof I did so (real fact). I come home on Fridays, and often couldn't provide "admissible" evidence (ie-beyond my family) of having done so until Sunday (past fact).
Now here's the scenario from the video (purely hypothetical):
I am accused of having robbed a store in a town a hundred miles away, where I stay and go to college during the week.
That store happens to be one I purchased goods at previously, and tossed the receipt because hey, I buy with cash, it's something small, there's no way I'll need the receipt.
But that robbery happens to have been done on Saturday, while I was home.
A former acquaintance thinks they see me near the store, ten minutes before the robbery. (You should know that mistaken identity happens a lot.)
I'm accused and brought in for questioning.
Fifth:
I say nothing. At court, the case gets thrown out because they have no evidence (except maybe something that from all the law can tell may have been purchased or stolen there)
No fifth:
I hear the brief accusation (someone stole goods from such-and-such store on Saturday), protest "I was a hundred miles away! There's no way I could have done that! And I don't have the goods!"
The mistaken testimony of the former acquaintance is used to establish that I lied, then they produce the goods I bought and threw away the receipt for (not that that would have helped, my name being absent).
Prosecution says: "As you can see, Mr. So-and-so lied about both his location and having the goods."
Jury convicts me.