First; Casey Hudson made Mass Effect. If not for him, you wouldn't be here in this forum period, end of story. It'd be like saying Lucasfilms needs to fire George Lucas, Kojima Productions needs to fire Hideo Kojima, Nindento needs to fire Shergiro Miomoto. You'd be gutting the franchise by decapitating the head of the team. It's stupid, and ultimately is more destructive in the long run.
Secondly, you screwed up with your comment that Hudson was insulting Christians; it wasn't Hudson saying it over twitter, and what others are saying is that it was a joke. If you can't be bothered to fact-check, why should any of us take your opinion seriously?
Third, your source in the OP is claimed to be Weekes, but he himself has repeatidly denied he made the comments, and the post in question has been deleted with all quotes on that forum deleted as well, so it is literally impossible for us to confirm if it was in fact Weekes who said it. And even in the quote provided, the author is nowhere near as harsh on Hudson; the worst he said was that Casey sometimes forgets that not everyone is on the same page.
Fourth, Weekes himself disputes your claims, since the unoffical chat he had with fans at PAX laid more blame on EA being stingy with resources then mismanagement. The simple truth of it is that EA was cheap (suprise suprise from the worst corporation in America; when you can beat Bank of America in that catagory, you know you suck) and Bioware was given a bad situation and made the best of it.
Fifth, this is hardly a PR disaster; EA (the publisher) looks to all the "professional" reviews on the game, which paints it as a perfect 10 (because they don't have the emotional attachment we do, hence they're not as concerned as we are about it). Bioware is the one that actually listens to the fans (and they do listen, as we've had developers post in these forums when the jerks in the retake movement aren't breathing down their necks, picking apart everything they say and trying to quote them out of context as "proof" Bioware looks down on it's fanbase).
The retake movement is not some monlothic movement united in any tangible way; it's pretty much splintered now; you have the people who just want to feel like their choices mattered in the end run, and Bioware's promised that the Extended Cut will show what happened after the rainbow ending with your allies and how the universe moved on, as well as clarify...stuff (I'm guessing the scene at the Crucible will be longer, probably with a bigger conversation tree with Starchild where you can ask him just what the hell is going on), then you have the people who want the entire ending changed, ignoring all the reasons why such a thing is impossible (ie no video game in history has had their ending outright discarded and replaced; the most commonly cited example with Fallout 3 was actually just expanding and clarifying; nothing from the original ending was really changed, they just wrote around it and made it something bigger, and the fact that even if Bioware did think such a thing was a good idea, EA would never in a million years give them the money to redo their own game, and the fans would still complain that it was taking forever).
So in short, Casey should stay, since you learn more from failing than you do from never being called out on a mistake.