How nonsensical! The Commonwealth is a quaint sphere of inlfuence built from historical links.
Yes, it gives us a certain amount of influence, trading advantages and favour bartering, but it is not remotely close to a conspiracy!
WD- no luck for you guys I am afraid. To be in the Commonwealth you had to have been part of the Empire before its break up- it succeeded the Empire. The States kind of ruled itself out of that.
It had a fair few mighty nations- the UK, Canada, Austraila, New Zealand, India, Pakistan, Nigeria- and lots of smaller ones, all of whom have the Queen as their Head of State and have the right to have royal appointments etc. (hence Australian ships being HMAS (Her Majesty's Australian Ship) and the Royal Canadian Mounted Police being actually Royal etc. but just as in the UK itself, her actual power is non-existant; it is all for show); we have trade meetings and four-yearly games similar to the Olympics which Britain still mostly loses at and occasiononally we throw out the odd member that we think is being abusive, like Nigeria (who changed and came back in), but sometimes that doesn't quite work properly, like with Zimbabwe (who called it a British neo-colonial attmept to interfere in the running of their country, which was a pitifful statement from their totally corrupt Government).
Like I say, it is entirely quaint. It is not even remotely sinister. You cannot use its wide membership to justify anything- it is all descended from the Colonial days.
That whole site is, as ever, gibberish. Frankly- we WISH it had any real power!