Do all Religions worship the same God?

There is a postmodern tendency among certain religious folks to bring religions together. Of recent there has been lots of speculation regarding the creation of a "one world" religion. Although unity is a great ideal, it is simply impossible. 

In this episode two documents found on a church website are briefly discussed. These documents claim that all religions basically believe the same things and worship the same god, just with different names given to "Him/It/ Her".

Is it possible to be faithful to Jesus and believe people in other faiths also have access to the creator of the Universe apart from Jesus? Is it rational to believe there are multiple paths to God, and it doesn't matter which road you choose?