LAMP Server without single failure point + Global Server Load Balancing?

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http://serverfault.com – I want implement a LAMP Server (Linux Apache MySQL PHP) without a single failure point and with Global Server Load Balancing. I have a server in Cali, Colombia, and other server will be installed in Melbourne, Australia, user in America can use the Cali Server and in Europe, Asia, Africa or Oceania use the Melbourne Server. If any server fail (or load is excessively high), a server must answer all request. Data in MYSQL must be in sync, php files, any configuration in both server must be in sync. I read about of Google DNS Server and and ANY Cast, also about MySQL semisynchro (HowTos)