Xorg should work with the built-in graphics support that comes with the newer Intel processors (e.g. Haswell). The driver that supports these processors is the i915 driver, which is included in later kernels. The default Xorg.conf, that is built in to Xorg, will try this driver (called "intel") before it tries drivers such as the vesa driver. However, if the intel driver doesn't load, the vesa driver is unlikely to work either so it is important that the intel driver work, because you can't get rid of the i915 driver.
The most likely reason for the intel driver not to load is that it wasn't installed. To fix this problem, install the requisite packages:
su
yum install xorg-x11-drv-intel xorg-x11-drv-fbdev