3. They Both Get The Gravity Of The Situation
A big criticism of Moffat is that he doesn't kill people often enough. A big criticism of Davies is that he can be too wacko in things like "Journey's End." And both of these claims boil down to: I like this kind of storytelling better, why won't he tell this kind of story.
To the anti-Moffats: Moffat wrote the line "You need a good death. Without death there'd only be comedies. Dying gives us size." He gets the importance of the impactful death, he just doesn't feel the need to rack up a body count. Quality over quantity: Amy and Rory are gone for good, never to return. River reached a final end, in spite of the library. The Eleventh Doctor's death is going to make us all cry into our eggnog on Christmas Day. Yeah, he brings people back, but that's the beauty of a time travel show: death doesn't always HAVE to happen at the end, sometimes everybody can live. That doesn't mean he doesn't like the drama that a real death can give. And it doesn't mean that he's going to ruin the show by not letting anyone die.
And now to the anti-Davies: Madcap insanity is part and parcel of Doctor Who. Without the vaguely cheesy craziness, it wouldn't be Doctor Who. Even episodes which embrace gravitas like no other, like "The Name of the Doctor," had zaney moments with Strax. So yes, sometimes the episodes are really packed, sometimes people act out of character, and sometimes the plots seem to be completely unhinged. Welcome to "Doctor Who," make yourself some popcorn and enjoy the ride: it'll get scary again next week, I promise.