Sure. If I respect private property rights I have no choice. But I wouldn't take it sitting down. And I wouldn't go crying to government like a little girl. I'd do something to change your mind. Like what?
First I'd discuss the topic with our neighbors. I doubt they'd appreciate your sign. Next, we'd discuss the matter with your employer, and the boycott of his business should he continue to employ you. Then we'd talk to the neighborhood grocer, and he might decline to sell you food, or another boycott would ensue. The same for the electric company, and the gas station, and so on...
Soon, you have no food, no water, no electricity, and no money. All of a sudden our offer to purchase your property starts to sound pretty good. And off you go, and the very next moment we're burning your sign down.
Or we could do it your way. We're too lazy to do any of that. So we violate property rights. And in time the whims of the mob will dictate what and where you can build on what is allegedly your land, who can stay there, what kind of couch you can put on your patio, and on and on.
Liberty isn't easy, and it isn't neat. You have to work for it.
This is why libertarians will never get elected to any major office. If you'll fess up to being ok with this, then I can't argue you out of your libertarianism. But I am conforted by the fact that you guys will never be in power.