Not that I disagree with your sentiment, but I doubt that the reason clubs were formed was the inclusion of foreign players/fans. It would've been more a vicinity thing, especially as back in the day they didn't have transport like we do now.
LOL.
I am talking about my specific club, fc internazionale di milano. The reason Inter broke away from AC Milan was due to the fact that AC Milan only allowed Italian players and Italian members. Hence the reason why Inter was formed in 1908.