This is not a question... rather an answer.
Problem
Browser is returning: "ERR_EMPTY_RESPONSE", "no data received", "the connection was reset", etc...
Apache error log is returning: "Segmentation fault"
sudo tail -f /var/log/apache2/error.log
[notice] child pid 10857 exit signal Segmentation fault (11)
[notice] child pid 10703 exit signal Segmentation fault (11)
Before running around the interwebs looking for answers in a forest of confusion and Godaddy bashing, check to see if the Suhosin Extension is installed by placing the phpinfo() function somewhere in one of your PHP scrips.
phpinfo(); die();
If you find that the Suhosin Extension is installed, you can remove it quite easily:
sudo apt-get remove php5-suhosin
Restart Apache:
sudo service apache2 restart
At this point, you should be good to go. Hope this helps at lest one person. I know I spent a good chunk of time hunting this down.
Cheers!