Where wild minds come to rest
When I enjoy a character, I don't find myself rejecting similar characters, but instead wanting to incorporate more characters who are close to them into my daydream. For example, many years ago I would MD about the TV show Taxi. In particular, one actor was my favourite so I MD'd about him constantly. But my MD became more enjoyable when I brought in the rest of the cast. I also did this with people I worked with. If I MD'd about one person, I'd include others I worked with to complete a cast of characters.
Funny you mention kung-fu actors though. I used to have a crush on Jackie Chan when I was a teen. But all that did was pique my interest in finding more kung-fu actors to watch and enjoy, sort of like scouting for more characters for a new MD.