Sorry, but I still think the trailer is forced and tries too hard.
How would I make it better? The problem with the trailer isn't that it's over the top, it's that its
too over the top. That is what makes it forced. Tone it down a bit. Don't have the guy say "sexual deviant." Dante having writing on his arm is a subtle indicator of what he did last night. Instead of having him flat out say he has a hangover, show beer bottles or something. (Not sure if they did, but I didn't see any.)
Also, the naked bit? Also trying to hard. Have him already wearing pants so when he flies through the room it isn't obnoxious. Instead it just looks cool that he's flying through his house and manages to pull on his shirt. Or, if you want another subtle indicator that he had sex the night before would be to show him pulling the pants on when he opens the door and gets blasted with sun light.
Also, the DMC3 pose at the end needs to be gotten rid of. It tries to hard. Or maybe show it, but at a different angle. Like from the side so you can see Dante, maybe with his foot on the demon's head, swinging down in epicness.
One thing the trailer does do right is when Dante is running through the ferris wheel, puts his coat on, lands and says "sweet." The words "FACE YOUR DEMONS" flashing help make this scene awesome. This is what I'm talking about. It's a cool scene without having to try too hard.
So yeah, that's what I would do. I'd tone it down in a way that keeps the attitude but isn't so in-your-face.