I don't get this 'fleeing to Pale Moon' schtick. As a fork of Mozilla, Pale Moon identifies itself to servers as 'Mozilla', so if the idea is to show Christian solidarity by showing Mozilla they will lose base, your move is pointless... because you are still on Firefox as far as the web is concerned. Better to go to Opera, or any other that is not Mozilla based, that identifies itself as something other than Mozilla...
You can disguise Pale Moon/Waterfox/Firefox as a different browser. To use the IE10 useragent, do the following:
Open the adress About:Config
In the whitespace of the page, right-click and pick "New > String"
Enter the string general.useragent.override
You'll be prompted for the string value. Use Mozilla/5.0 (compatible; MSIE 10.0; Windows NT 6.1; WOW64; Trident/6.0)
In the page's search bar type general.useragent.enable.overrides
Double-click this entry to turn the feature on/off
The site below correctly identifies my installed Comodo IceDragon:
The site below thinks my IceDragon is Firefox:
Unless those investigating browser popularity look for and accurately detect the various open source browser builds, their numbers can't be trusted.