It seems that FC5 packager created a broken Wine distribution.
Instead of being 1-3 packages it's 15 (from what user told me on #winehq. And it doesn't work at all: "Application tried to create a window, but no driver could be loaded."
Which tells me it's compiled without X headers. I didn't even new Wine could compile without X, since we don't have tty driver.
Vitaliy