What kind of aliens? What kind of invasion?
If you look at the breadth of "invasion" or "conquering" in the litterature, it might not be that black and white. Consider the vast difference between Childhood's End (an almost inevitable conclusion) and The Black Cloud (not-really-but-completely-indefensible conquering).
Unless we intentionally shoehorn ourselves into a specific view of aliens in terms of looks and desires, we're not really in a position to discuss any type of "invasion".