With the more and more overt news tickers of recent weeks, one could wonder how the mortal population of the World of Darkness reacts to such unusual events. Philippe R. Boulle, who co-ordinates the news tickers, gives a bit of an explanation...
Well, first the (somewhat trite) gamer answer: That's up to you to deside in your chronicle.
Yes, yes, I know, that's a cop-out. Some of the "official" answer (well answers really) will come in the Time of Judgment books themselves, of course, but the average person in the WoD is probably significantly rattled. Of course, not all these events get the same play world-wide. The rain of fire in Jerusalem surely is splashed across a variety of media sources, but the cathedral in L.A. may only have been seen by a few people.
Added to that are two important factors in the World of Darkness. First, there are distinct supernatural forces -- from the Camarilla, the Technocracy, the Delirium, and others -- that put some heavy resources into suppressing and discrediting revealations of the supernatural. Those forces are apparently now fighting a losing battle, but that doesn't mean they aren't still fighting it. So people are still being made to forget or discount these things and disinformation is out there as well.
The other factor is that the mortal population of the World of Darkness has a distinct inclination to disbelieve or minimize evidence of revealtion, espeically when they don't happen right in front of their eyes. Depending on your outlook, you can trace this to any number of cosmological factors -- the absence or fracturing of the Godhead; the rise of the Weaver to prominence; a more subtle effect of the Delirium; the Technocracy's influence over the consensus -- or just to the very real and very human tendency to discount facts that undermine one's world view.
A concrete example of that effect in recent WoD events was Lucifer revealing himself on national (and international) television during the Devil's Night (portrayed in Demon: Lucifer's Shadow and City of Angels). For a brief moment many people who saw that live coverage believed what they saw, but when they went back to see it on tape, or thought back to it, the glory/horror of it had faded and they started callign it a cheap special effect. Only the demons out there and the mortals actually in Lucifer's presence at the time, didn't excuse it away. (Adam Tinworth wrote a fine story in "Lucifer's Shadow" all about this, actually.)