This is the last version I'm testing and with which I am very happy:
https://serving.photos.photobox.com/...8cf232e61f.jpg
The list has a ton of solutions against a deck like Miracles, maybe a bit more than normal IDK... But I'm prone to play these kinds of lists, I suppose due to my play style. But anyway, I think the MU is good apart from this concrete list.
Usually my plan against them is:
+1 x Oblivion Ring
+2 x Council's Judgment
+2 x Cataclysm
+1 x Palace Jailer
+1 x Sanctum Prelate
-1 x Mother of Runes
-1 x Phyrexian Revoker
-1 x Mirran Crusader
-3 x Swords to Plowshares
-1 x Umezawa's Jitte
This is the standard I use, but for example against a Mentor heavy version, like Daze one, I use to keep in another Swords to Plowshares. The singleton I'm keeping in is, apart to an efficient answer to Monastery Mentor, to secure the crown when needed against flasy creatures at instant speed. I'm happy spending a slot there in exchange of more semi-free wins with Palace Jailer mechanic.
On the other hand, I think to beat Miracles Cataclysm is generally better doing the function you're looking for than Gideon and SoWaP IMO. Let's say that Gideon is good most of the times maintaining his value quite high, it's fine, while Cataclysm in the right moment is gonna win you the game on the spot played correctly, it's quite absurd. It's exactly what I want here, a game-shaker that changes the dynamic of the game. SoWaP I think is worse because, although the protection is quite valuable, you're not attacking your opponent from other angles which are the best things about the others, they give you inevitability, and also SoWaP is easier to remove.
In addition, I've tested 3 x Council's Judgment versions of the deck, it's not crazyness. It's, by far, the card you board in the most. According to my SB plans I think I always bring them in except against Storm and Dredge, not sure if I'm leaving something more...