People are always influenced by their social group. Government is of course part of that as is the media. However, so is the indoctrination about such things by the, what did you call it...the ethnic group? Certain larger social groups, or even, in certain cases, religions, play their part.
So, what's the difference logically? There isn't any; you just like what one group is teaching, and dislike what is taught by the other. You want there to be only one source of indoctrination...yours.
As to the relative impact of such various types of "indoctrination", I think the strongest influence is always that of one's parents although of course that can be modified by other influences.
The real question is whether such things are innate. There may be some hard wired inclination to feel less threatened by similar features, but it is very weak from my experience. I don't know if you have children or have ever even lived in an area where people of various backgrounds live in social proximity to one another. I have. In playgrounds where children of various races come to play, some mere toddlers, they all interact with one another quite naturally if no one interferes. The distrust comes later. The same phenomenon is described with great poignancy by great American writers of the so called "southern school" like the Nobel prize winner William Faulkner or Robert Penn Warren and others. In many cases, the children of rich southerners were raised by African American women and played with African American children. The wrench as they grew older and were "socialized" to lessen those bonds was for many a painful one.
Also, I find promoting such attitudes rather disingenuous because it ignores actual human behavior and the lessons of history. Going by personal observation as well as those lessons of history, it seems to me that men of European descent have had very little difficulty mating with women of other "lesser" ancestry and muddying the racial, social and cultural identity of others. How else could the average African American be 20% European or many Latin Americans be about 50-70% European? One could interpret that to mean that their only goal is to prevent their women from engaging in some miscegenation of their own. Good luck with that.