Yes! Thanks for posting this. I definitely share your views. But first, a note on the semantics. My personal awareness of the phrase "storm the heavens" came only in the last decade or so, but it seems that this had been around for at least half a century. I googled "storm the heavens" and came across this page
http://bluepanjeet.net/2009/04/18/4474/storm-heavens-prayers-storm-novena/. It talks about a "Storm Novena" and reposts an article published in 1947. The 1947 article cited passages from Luke from which it concluded that "Thus man has power over God." So you are correct that the Inquirer's headline implies that God is being compelled to do something. But I think the headline writer was just using a cliche and was not implying anything violent. There are also “prayer warriors” and the proverbial “battle of good versus evil”.
More important than the semantics is the issue of going overboard about the three convicted Filipino drug mules. As the highest official of the Philippine government, the President is expected to maintain a good sense of balance and dignity. The statement attributed to him, which did sound as if he was calling on us to avert a doomsday scenario, as you so aptly described it, seemed to be, well, unhinged. His excuse could be the fever that he suffered from at the time the statement was published, but did his whole communication staff also have fever at that time? It certainly seems as if they were struck by a religious fervor (do “fever” and “fervor” share a common origin?) that led them to the overly dramatic and overtly Catholic rhetoric.
Probably his communication staff was reacting to the media’s hype over the three convicted Filipinos. Well, someone told me that media is business, so since hyping this issue seems to be good business, we can understand why media insists on giving it more than its reasonable share of coverage. But the presidential communications staff should stop thinking like media people and start thinking like statesmen. They should give the Office of the President its dignity and grace. I hope there will be no more statements of this kind in the future.