I honestly hope there are no interactions between Peter and Gwen. Keep them separate as they would have no sort of attraction and history. It's obviously certain fans who crave that sort of nonsense, relationships being a central point to team-ups.
It doesn't take much to play Batman. Adam West nailed it. Clooney nailed it. After these movies, Michael Cera will nail it. People will eat it up like cheap ramen and lie to everyone about how much it sucked.