It already is, and they've even managed to make white European history in America appear to be an evil one, replete with biggoted whites who 'slaughtered' the indigenous people and enslaved Negros. (even though slavery was the norm all over the earth, and blacks captured other blacks to sell on the market, and it was eventually white Europeans and early Americans who put an end to slavery with their own blood).
Anyway, all that remains in America of 'white European culture', and traditional Christian culture for that matter, are little pockets and remnants here and there. The reason? Nobody cared enough to save it from the ruling elites, whose quest for power and control inevitably means that the religion of the people will be suppressed and replaced with secularism, and whatever appears to make them look good, (including a temporary boost of the economy by cheap labor barbarian invaders, ie "guest workers"), will take precedence over the desires of the people. In other words, freedom isn't free, and once it's obtained the people need to be vigilent in keeping it. We haven't been vigilent, we've given away our heritage, our faith, and much of our freedom to people who were more than happy to take it.
"Any vestige of white European culture will be a distant memory."
White European culture under various forms of governance (monarchies, dictatorships, communism, Republics, Colonies)include:
Medicine
Astronomy
Music
Art
Justice/law
Physics
Biology
Engineering
archeology
paleontology
nuclear physics
space exploration
All other modern technological advances
Culture is not exclusively a political philosophy. The advances of a culture survive, political movements do not.