Will there ever be peace amongst Muslims and Christians?

No. There will never be peace between Muslims and non-Muslims. That's the whole point of Islam. Nor will there, if the Muslims take over the world, be peace between Muslims and themselves. There will always be divisions because Islam is about 'fighting the good fight' until their muhammed returns and guess what? It's never gonna happen. If Islam takes over the world, it will do one of two things, on a piecemeal basis: snuff itself out (constant war and the direction of fear and stupidity will do that to a people) or it will change from Islam to something else. Look at the best country Islam has to show for itself and it's a country WITHOUT 100 percent Muslims, meaning the Islam of the Islamic country has been controlled, restrained. Look at the 2 places with 100 percent Muslims- Iran and Saudi Arabia and ask yourself what they would be without petrodollars to prop them up. Saudi Arabia is quite rich and most of their people live like peahsants and they still practice child marriage and public stonings of victims. Find me a place on Earth with peace between Muslims and non-Muslims and you'll have found a place with less than ten percent Muslim population. Muslims view breeding as form of holy warfare and thus it is percentages not merely population that increases. Islam is, quite simply, humanity going insane.