Comparing the Millennium and the Kingdom

In my earlier post to Earl I place the millenium in the future and was a Partial Preterist/Postmillenialist only so far. Okay, guys, after grappling and reading The Book of Revelation Made Easy I will give up my last sliver of pre-mil (didn't know it still was infecting me) and admit we are in the millennium now.

So I have another question.

When we pray thy kingdom come are we praying for the millennium? Or, are the Millennium and the Kingdom the same?