The more restrictive the quarantine rule is, the less likely someone will report symptoms. New cases don't announce themselves with a face-up card and a cube on a map. They arrive with aches and nausea, just like a thousand other ailments. If someone's at risk and starts feeling symptoms, are they going to voluntarily lock down their life for a week until a more accurate (and benign) diagnosis arrives? Of course not. They'll lie, say they're feeling great, then go out in public anyway.
Early and accurate detection is the key, not panicking every time someone gets a cough. If someone's at risk, encourage every report, but don't cause panic. After basic screening ("No, sir, erectile dysfunction is not a symptom of Ebola"), tell patients to be cautious and avoid contact with others. Make the patients feel like their conduct is the most important factor in protecting their neighbors. They're not just one of this week's overreactions. They're the center of attention, until their case is ruled out, like almost all such things are.
Ultimately, outbreaks like this only stop when there's either an effective vaccine/treatment, our when people can not or choose not to spread the disease to others. In the absence of the former, we must rely on others' good judgement to enact the latter. Panic is not conducive to that end.