Gary, a name is all important!  A name identifies a being.  God has a personal name, because He has a personage!  God is a title... same as deity, or even "Perfect God."  It's a title. 

For instance, I could say, "I am subject to the King."  Someone asks, "Which King?"  I respond, "The King of France."  They respond, "Oh!  You're subject to King Louis XIII of France!"  I respond, "No, I'm subject to King Charles Martel of France."  Obviously, the title in my example has been confused with a different person.  So... you can say "I worship God, the One Living God, the Perfect God!"  but I tell you, that unless you are worshipping the One Living God whose name is... (spelled in Hebrew:  Yod-Hey-Vav/Waw-Hey  also known as YHWH or Yahweh)  Or His incarnate name Jesus (Yeshua/Yahshua in Aramaic/Hebrew) you are not worshipping the same God that the Christians do.  And we all believe that there is only one God... but apparently both of those guys thought there was only one king of France.  And there was only one King of France... but there was a confusion on exactly WHO that King of France is.  Same as with God.  Christians and Jews name God the same name (albeit Christians add Jesus to that because of God's incarnation)... Muslims name their God differently, (Allah is supposed to be a title, although there is secular debate about the origins of that.  Muslims say God has 999 names or something like that.)  Hindus call their transcendant deity Brahman... and their protector deity Vishnu.  Buddhists don't really believe their deity has a name as they believe that all is divine ultimately (at least some sects do).  ^{Zoroastrianism} suggests that the deity of good is named Ahura Mazda... Now, aren't these different names?  Does that not suggest a different person?  Sure, one may suggest them to be aliases of the same deity... but all religions suggest that their named deity has done and does different things.  Christians say that God become incarnate as Jesus Christ to save mankind, and that His Holy Spirit dwells among us now.  Jews deny this Christian creed, but believe that God has done many of the same things that the Christians believe He has done.  Muslims deny the Christian creeds and believed a warped version of the Judeo-Christian "pre-Jesus" era of what God has done.  The rest is too much more to bother with... But do you understand where I'm coming from?

God by any other name is not still God.  It cannot be so given the Jewish, Christian, and Muslim faiths... possibly some of the others, like Hinduism it would be okay... but not in the monotheistic faiths.