How can I make focus follow the mouse cursor?
Solution 1:
This is freely possible for the Terminal and X11 :
defaults write com.apple.Terminal FocusFollowsMouse -string YES
defaults write com.apple.x11 wm_ffm true
Or, OS-wise, with a utility that seems to fit your needs, called MondoMouse.
Solution 2:
I originally wanted to do this with my first Mac a couple years ago as well, since that's how my Linux and Windows environments behave. But I think the driving force preventing this from becoming a reality is in how OS X handles application menus.
What if you want to go to the menu at the top of the screen for an application you're using, but in the process briefly hover over another application? That would become infuriating quickly.
In short, I don't think its doable for that and potentially other reasons.
Solution 3:
Best little utility I stumbled upon is Zooom/2. Strange name, hence hard to find. You can choose delay (Rather cumbersome, OS X and global menu is not designed to allow that). I set it to focus window under cursor instantly when Option key is pressed. Great value, no dock or tray icons, it just works.