All this eating healthily and running six miles a day is driving me mad.
. . . All that ignoring what other people think and just being yourself have really rubbed off on me.
Those two examples work for me too!
How interesting that demonstrative determiners can take VP complements, in addition to possessive determiners and the null determiner.
All the alphabetising the files and rearranging the staples is really irritating.
That example does not work for me; or, at least, I cannot say that I find it fully grammatical. Perhaps it's not as bad the "all the making sandwiches" example that I gave in post #8. It's interesting that you have not used an example that is grammatically parallel to the "all the blocking flights," which does not contain an additional "the." Your example would be parallel to "all the blocking the flights," if that had been the example in the OP, which it isn't.
The relevant part of the original was "all the".
Do you and other British speakers find a sentence like the following syntactically ambiguous, then?
All the eating animals surprised the zookeeper.
Can that mean for you either (i) "all the eating of animals"/"all the animal-eating" or (ii) "all the animals that were eating"?
(You see how different the interpretations are. In (i), people are eating the poor zoo animals. In (ii), the animals at the zoo are nourishing themselves.)
If so, I assume that, as a sentence subject, "all the eating animals" could be followed by either a singular or a plural verb for you, depending on your interpretation.
All the eating animals is disgusting to vegetarians.
All the eating animals are a big attraction for zoo goers who like seeing animals feed.
If both those sentences work for you, we may conclude that, outside of context, the head of the phrase "all the eating animals" can't be determined by BrE speakers.