Who said anything about ignoring problems?
I am talking about getting the federal government out of the way, not ignoring the problem, but striking at the root of it.
"How much money and people would have been saved if someone had taken proper precautions against passengers hijacking planes before 9/11?"
Not as much as you might think, in the grand scheme of things - falling furniture still kills more of us than the terrorists get. But yes, some proper prevention could have saved us massively. Read up on something the CIA calls 'blowback' and get back to me when you are ready to have an intelligent conversation on how an imperial foreign policy costs us over and over again - both in direct costs and in blowback later.
"How much money and people would have been saved if they had built the walls around New Orleans properly before Katrina?"
The people directly affected are always the ones in the best position to deal with this sort of thing ahead of time. Letting them keep their own money and spend it where it's needed is more likely to produce favorable results than sending it to DC and expecting a bureaucrat there to spend it wisely - while encouraging the locals to shut up and leave it to him. What a recipe for disaster that was - and continues to be.
"Ignoring problems to save money will cost more in the end."
Not talking about ignoring problems. Talking about finally solving a lot of them instead of making them worse every year.