Please, take a look at these lines:
../../include/QtGui/private/../../../src/gui/kernel/qt_x11_p.h:50:22: error: X11/Xlib.h: No such file or directory
../../include/QtGui/private/../../../src/gui/kernel/qt_x11_p.h:55:23: error: X11/Xutil.h: No such file or directory
../../include/QtGui/private/../../../src/gui/kernel/qt_x11_p.h:56:21: error: X11/Xos.h: No such file or directory
../../include/QtGui/private/../../../src/gui/kernel/qt_x11_p.h:57:23: error: X11/Xatom.h: No such file or directory
The reason of failure is obvious: your system lacks x11-devel files. I don't know the exact names of these, but it should be something like x11-devel-blah-blah.rpm