I see we agree that it will be a ten-nation confederacy of Eastern Rome, not Western Rome as is the popular opinion.
Yes, well it's an interesting question how much the Beast will encompass Rome and Europe. Europe is slowly turning Muslim and they know it. It's why their leaders tolerate Muslims as they do. Europeans are like Americans in that they're not having enough kids to sustain their population growth, and without immigration the future of most of Europe would be in trouble. Muslims average something like four children per family, so it makes up for those who are hardly having one per couple.
Anyway, while I do think the European nations will increasingly bow to Muslim influence (either internally and/or through NATO), I think most of the ten nations will likely come from nations currently already under Muslim control: Saudi Arabia, Turkey, Syria, Iraq, Iran, Afghanistan, Yemen, Oman, Jordan, etc. All these countries are currently 95% Muslim or higher, with most nearing 100%. This is the same region that was at the heart of territory encompassed by the four beasts of Daniel as well, so I think the idea that Rome was ever truly the fourth beast of Daniel was a misconception.