I can almost guarantee you, given the comments on that thread, they are NOT giving their own money.
Regardless, tax dollars are our money. And I don't think giving, generous people are opposed to helping in such a catastrophe.
One thing's for certain -- many of the folks who are loudly complaining about the relatively small amount of taxpayer dollars being spent on this particular (and much needed) relief effort are relatively silent when it comes to the monstrous waste of taxpayer funds in other spheres. Consistent, they're not.