Unable to start GUI with Xorg logs "Failed to load module xx (module requirement mismatch, 0)"

Issue

• Unable to start Graphical user interface after reboot.
• X server is not starting on RHEL6 after recent package update.
• Xorg logs show message about module mismatch.

# cat /var/log/xorg.*.log
[..]
[    26.650] (II) LoadModule: "fbdev"
[    26.650] (II) Loading /usr/lib64/xorg/modules/drivers/fbdev_drv.so
[    26.650] (II) Module fbdev: vendor="X.Org Foundation"
[    26.650]    compiled for 1.7.7, module version = 0.4.2
[    26.650]    ABI class: X.Org Video Driver, version 6.0
[    26.650] (EE) module ABI major version (6) doesn't match the server's version (13)
[    26.650] (II) UnloadModule: "fbdev"
[    26.650] (II) Unloading fbdev
[    26.650] (EE) Failed to load module "fbdev" (module requirement mismatch, 0)
[    26.654] 
Fatal server error:
[    26.654] no screens found
[    26.654] (EE) 

Or
# cat /var/log/xorg.*.log

Loading extension GLX
(EE) module ABI major version (6) doesn't match the server's version (15)
(EE) module ABI major version (6) doesn't match the server's version (15)

[  3237.101] (EE) module ABI major version (6) doesn't match the server's version (15)
[  3237.101] (II) UnloadModule: "vesa"
[  3237.101] (II) Unloading vesa
[  3237.101] (EE) Failed to load module "vesa" (module requirement mismatch, 0)
[  3237.101] (II) modesetting: Driver for Modesetting Kernel Drivers: kms
[  3237.101] (--) using VT number 7

[  3237.104] (EE) open /dev/dri/card0: No such file or directory
[  3237.104] (WW) Falling back to old probe method for modesetting
[  3237.104] (EE) open /dev/dri/card0: No such file or directory
[  3237.104] (EE) Screen 0 deleted because of no matching config section.
[  3237.104] (II) UnloadModule: "modesetting"
[  3237.104] (EE) Device(s) detected, but none match those in the config file.
[  3237.104] (EE)
Fatal server error:
[  3237.104] (EE) no screens found(EE)