Should they? No. Will they? Yes.

Hurricanes cause enormous amounts of damage. Lives are lost, property is lost, and entire towns can be leveled. I know this and I have never even been close to a hurricane. Personally, that will affect where I choose to live. Hurricanes come here? No thanks. I realize this is not an option for some, however, those living in hurricane prone areas should be smart about these monsters of weather. If you are told to evacuate, do it! The government should not give aid to those who choose to stay in a hurricane's path. However, they will.
According to nytimes.com, Hurricane Ike caused as much as $16 billion in property damage. This is a staggering number that is no doubt leaving a lot of homeowners devestated. Meanwhile, this same website shows a story of "250 stubborn Texans refuse to leave," FOXNews.com is also reporting on those who are, now after the hurricane, being forced out of their homes. My question to those people is: Why do you stay? For sentimental reasons? To protect your house? Exactly how does your presence help your home during torrential rain and 120 mile per hour wind?
I'm not saying the government should not help at all. $16 billion is millions of people left homeless. These people, whether they left or not, are going to have to start all over again. Other than insurance funds and government help, those affected will have little means of starting over. nytimes.com also reports that over 24% Texans do not have insurance and of the $16 billion in damages, Texas' insurance pool will only cover $2.3 billion. The government is left holding the bill for the remaining $13.7 billion. Although I cannot imagine why I would live in a hurricane zone, I also cannot imagine how I would recover from losing everything I had.
There should be a line, though, for those who stay and those who leave. If you willingly stay and are physically injured, I do not think you deserve my tax money to make you all better. I need that money for instances I do not bring on myself. Those who stay should have to relinquish their rights to some of their government aid. If they choose not to receive help when the government is trying to get them out of harms way, why would they want it now?