I chatted up an online amazon rep. and this is our chatlog:

You are now connected to Amazon from Amazon.com
Me:Just wondering if my package will ship on monday or tuesday.
Amazon:Thanks for contacting Amazon.com. My name is Kereece, I'd be more than happy to assist.
May I please have the name on your account?
Me:Steven
Amazon:Thank you. Your email address is email @ email.email, correct?
Me:Correct
Amazon:Thank you. May I please have the order number of the order you are tracking?
Me:IORDER #BLAH BLAH BLAH
Amazon: Call of Duty: Ghosts - Xbox 360 ?
Me:Correct
Amazon:Yes Steven, I'm seeing where it will be delivered on Tuesday, November 5, 2013.
Me:I understand that, just wondering when it will be dispatched because I ordered the 1-day shipping on it
So I presume if it shipped today that it would be here monday.
Amazon:That's correct Steven.
Me:Is there any possibility of it being dispatched today>
?
Amazon:Let me check on that for you. Please hold a minute or two.
Me:Ok Thanks
Amazon:I'm seeing that this item will be released on November 5, 2013. However It will be shipped and delivered the same day.
In addition possibilities are that it can be delivered on the Tuesday as well.
Me:So the 1 day shipping option is unnecessary then?
Amazon:No it not, you will receive the item as soon as it is shipped.
Me:Ok thanks a lot
Amazon:You are most welcome.
I'd be more than happy to assist with anything else.
Me:That is all I had today.
Amazon:Okay Steven, it was my pleasure to assist you today. Thanks for making it Amazon.
Have a great week!
Me:You too
"End of chat"
So as you can see, either they are not sure on a date and telling everyone something different, or you have no hope of getting the game early.
Hope this clears a bit up.
Thanks