Yes, Mono does support ASP.net to help you program in Linux Machine.
According to your above mentioned Links your absolutely right mono will definitely do the thing.
But it depends which Distribution your using.
I would suggest you to use Ubuntu or Debian because it would be easy for you to install and it's more user friendly.
As far as I checked you above links I would suggest you to use this links
I am sure there is nothing to be confused about until unless you want different application to run ASP.net or if you have problem configuring.