2. There are significant differences in the two disasters. Haiti has been destroyed while in the US only a major city was destroyed, those in the city can easily move to other cities it's much harder to leave Haiti.
3. The US military is has significant limitations on actions it can take in US and rightly so.
4. The majority of the problems with regards to Louisiana were due to complete incompetency of the state government not following it's own plans and a lot of the controversies were generated by the media merely repeating rumors.
However, such a comparison should bear in mind all factors, including the death toll of both events. The loss of human life has been in my opinion one of the greatest forces behind all the aid efforts in Haiti.
I'm sure the economical impact of Katrina was greater, but I think the Haiti's death toll will significantly overshadow Katrina.
However, when making a comparison it's generally safer to take into account the context of what you are comparing. In this case the effort, both private and public needs to be presented within the backdrop of what exactly is happening.
Because as you analyze the effort and its accompanying effectiveness you're also going to have to put that effort in context. If in Haiti there are X number of injured people treated and in Katrina there were Y number, how do you establish a direct comparison? Like what percentage is Y in relation to total injured? How's X compare to that?
You can go down the list, and you'll eventually have to come to quantifying the catastrophic event in order to put the response in perspective and measure its effectiveness.