Warning: Bad Fan-fiction ahead
I bet it would happen like this. Peter and Morbius switch bodies. In a fight to switch back, Peter's body is bitten by himself. He turns into a vampire. Doc Ock's technology switches them back, but Morbius in Peter's body had already stolen and hidden the costume. Peter pursues his new life as a vampire in the Morbius ongoing, with people calling him Morbius due to his vampire abilities. Avenging and Superior focus on the new Morbius, who switched bodies with a Miguel O'Hara who came from the future. The original Miguel is transferred into Alpha's body, so his mini will actually be interesting.
Marvel: Daredevil, Punisher, Uncanny Avengers, Wolverine & the X-Men, Cyclops, Hawkeye, Superior/Amazing Spider-Man (Trading for)
Image: East of West, Lazarus, Jupiter's Legacy, Starlight
What If? Spidey bit Morbius; Transforming Morby into an Arachnopire.