Devil May Cry have never and never will follow any religion to the point. Capcom grab stuff they find cool from religions and mythologies, and then makes it their own by turning and twisting it to make it fit into the world of DMC. So it doesn't matter what any religion has to say about anything when it comes to DMC.
An example is that DMC uses names from the epic, Dante's Inferno...
Dante Alghieri wasn't a half-demon demon hunter.
Beatrice (Trish) wasn't a demonic construction to look like Dante's mother.
Vergil wasn't Dante's twin brother.
Lucia wasn't a ninja chick demon clone.
And for other religious and mythological examples...
The Grim Reaper and the Seven Sins weren't guardians of some tower which held the gateway to the demon realm (though Cerberus was indeed the guardian of Hades in Greek Mythology).
Bael wasn't some frog, nor was Dagon.
Beowulf wasn't some lightning demon.
Bolverk wasn't even a demon - he is an alternate name for Odin, the all-father of Valhalla in Asgard.
And I could go on... So however angels will appear to be like in DMC is only inspired from how angels appear to be in various religions and mythologies, but they will probably be changed to fit into the world of DMC. Just like the angel antagonists in Bayonetta were changed to fit into the world of that game.
We can only wonder how they will be like and how it will fit with Dante being half-angel.