Although, aamirsaab has shown somewhat admirable tolerance, his network analogy is probably not representative of Islam. Allah, according to the Qur'an, does not accept any religion other than Islam - he has made Islam your religion to follow. So, I can't say you can call it a connection with Allah - if you follow say Hinduism. Yes, you will be making some sort of mental connection, but Islamically, it is seen as void, null, you would be worshipping a false God. Today, it is actually a common progressionists viewpoint, that their are X religions, all leading to the same path, but fundamentally, this is deviated to the teachings of Islam.
Also, IbnAbdulHakim has made a very good point, no one can blame another person for his disbelief - I do understand your point Woodrow, that muslims should draw people onto Islam by their actions, but even if you don't, do good deeds etc, its not a reason for people to disbelief the message - as your example is not editing the message.
Point accepted and well put though I just want to clarify one thing. Islam is NOT a religion, Its a way of life, Its a system, Its a law, its Submission to the one and only creator who created all we see, hear and touch. Its simple. submit to your creator and give thanks to him and he will open his mercy to you. Simple as that!!! You will know a man made law from a Divine law, Truth always crushes falsehood. Every other law can be quite clear cause it would have many contradictions. The Quran due to being the Word of Allah SWT has NO contradictions.
Do they not then consider the Qur'an carefully? Had it been from other than Allah, they would surely have found therein much contradictions. (An-Nisa 4:82)