Re: Oh boy
hmmm.... given that the incoming would be travelling at about 1 mile per second as it pops over your horizon (about 2.9 miles in flat clear terrain) you have 3s to interdict it...
Detection/confirmation might take 0.5s, launch of something will take a second or two more, by which time the bogie would be overhead (assuming you weren't the target)... assuming it was headed somewhere other than your current position, catching it up would probably not be an option.
For a little thought experiment, using big handfuls, Phalanx shells travel about 1100m per second, about 2/3 the speed of the target, so anything other than almost head on interception is going to be more by luck than judgement.... you would have to predict the course, and start pupming DU (or lead) skywards back along the most probable track becasue the slew rate on your point defence isn't going to be high enough to keep up if you are chasing it across the sky.
All in all a non-trivial problem - and certainly doing something about it will not be as easy as spotting it in the first place... which is, after all, the point of hypersonic ordnance.