mikecc: "ya know, sometimes its much safer to drive my car on the median, so, I shouldn't get a ticket for that!"

Shemp: "Ride in the bike lane! Get off and walk the bike around the obstacles. What's so hard to understand about it?"

So when there's an obstacle (say, a broken down car or some construction) in front of you, and a double-yellow line on the road, will you just stay there forever?

No, you won't, and you don't even have to. Just as the rider can leave the bike lane to avoid obstacles.