I'm not sure I understand exactly what you're asking, but It sounds like you want to remove the white "housing" from the spinner to get it to fit in the space you want to mount it. The only concern I would have is that the "housing" provides the support for the spinner, so if you remove it, you will need to make/have something else to use to support the unit.
I have used the EZarcade spinner, but not in the way you were talking about. As long as you can securely mount it, you should be OK.
Another option that has been used here, is to make multiple control panels...1 for driving games, 1 for fighters....etc.
Good Luck!