A Theory on Climate Change

I've been trying to figure out what Earth, will look like in a 100 or 1,000 years from now.  Traditional Theory holds that an ice sheet up to a mile thick covered N. America..I don,t doubt it and the evidence is all around us to support this idea..
If this happened, my question is: What was the Arctic like?  No one knows for sure.  But we do know that the woolly mamouth, grazed on the plains of Siberia and N America.  And we know that they died out.  Conventional theory holds that as the ice sheet descended , the mamouth was caught in blizzards and died out. It's range being reduced.  I wonder if this is what actually happened?

So what do we know about what is going on now?

1. We know the ice sheets are melting and are adding water to the oceans, increasing the height of the oceans.
2. We know that as the oceans warm up, the molecules of water are fattening up, helping to increase the oceans volume.
3. The water molecules being warmer are much more volatile and make the humidity higher across the globe. Doubling or tripling the rainfall where it usually falls, causing the problems we are seeing today.
What does it mean when this happens? Simple, it means that more warm  water is flowing thru the Bering Straights, and thru the Greenland Straights. This will cause a cycle in the Arctic Ocean, as warm water enter the arctic the cold water will sink causing even more warm water to enter into the arctic until finally the Arctic will be ice free.  The ocean will continue to rise and fatten-up.  As the ocean rises, the straights leading to it widen allowing even more water to flow in.  Also,  it becomes gravity driven..the southern ocean being fat and the n.pole being cold..its downhill. 
Eventually, the Arctic will have a Mediterranean Climate.  If i,m right, there will be an ice sheet which will cover the land all the way to Chicago.  One of the indications that this is happening will be when Lake Superior is frozen longer into the summer.  When Lake Superior is still ice covered  in July, prepare for the worst.  Snow will last all year. The Arctic will be open with warm water protecting it.  Northern plains animals like Bison and Moose will thrive.  They will not know or care about the southern ice sheet.. Grazing will be lush!
So if my theory is right, the woolly mamoths were caught between a southern ice sheet and the North Pole.   As the cycle starts to repeat, the Arctic will freeze  over, re-balancing Earth.
Frankly, I don,t know if this Theory is correct or not.  I Don,t know if the evidence can be found or not.  I don,t have a clue where you could even look to prove it or not.  Time will tell.
The facts are clear: the Oceans are fattening up.  Measuring the height difference between the equator and the Bering Sea, should give us a clue. as to weather water flows downhill..