Like everyone else I faced same problem... My WiFi was greyed out after upgrading to iOS 6. I tried Reset Network settings but this didn't help. But today I tried Reset All Settings..... Voila! My WiFi got active again. I was happy. But when I tried to connect to my Pocket WiFi but it was not connecting. I did Reset Network settings again... and shut down my phone and restart it.... Now my pocket wifi was searched and i got connected... But it asked me password to connect to the wifi... The moment I went to search my password and type, the wifi greyed out again..... I did Reset All Settings again.... This time my wifi got active again and I punched in my password and I was rolling....
So I think those who have greyed out WiFi try this: -
Step 1) Go to Settings>General>Reset>Reset All Settings, If your WiFi is active then ok else follow step 2
Step 2) After this again go to Settings>General>Reset>Reset Network Settings
Step 3) Switch Off the Mobile and Restart after 1 minute
Step 4) Check if WiFi is active then its fine
Step 5) Else again try Reset All Settings
It worked for me .... It will work for you people as well I think so.. Good Luck..