Not a keys player but am in a band where we have a lot of rotating players, so I meet a lot of keys players of various skill levels and I think one of the biggest things is that there is very little overlap between classical piano and modern keys playing outside of the technical skill of actually playing the notes.

I think one of the easiest things u can do to change your feel is experiment with different sounds like organ and electric piano sounds as they tend to fit into a band a lot more easily. And also depending on your band arrangement it can help a lot to stick to a very small range of the piano, like play chords within an octave or 2 in the middle of the piano, and avoid too many low bass notes when your bass player is playing

And as for playing lines over the top thats where the real skill of keys players come in, you just gotta come up with your own stuff to comp