I am not sure about "dominant races," but there has been something akin to this move in another aspect of society: gender. Here's an article that outlines the effects of finally having enough men in congress convinced to ratify the 19th amendment (enabling universal suffrage) [1]. In this case, the "dominating" culture is the more correct term than "dominant," since the proportion of males to females in society is usually close to 50/50 - but I think it does give us some idea about the kind of policy ramifications that might happen with more representative representation:
> Some of the legislation championed by women lawmakers, such as the enactment in the early 1990s of the Violence Against Women Act and the Family and Medical Leave Act, are remembered as signature achievements more than a generation later. But other victories were shockingly prosaic, correcting gender inequities that few would now believe lasted as long as they did, from giving women access to credit to ensuring that medical research included women as subjects.
A good example of the kind of prosaic mentioned: most people do not know that the NIH was not required to include female subjects for drug trials until 1993, though it is shockingly obvious that a drug could affect female bodies (e.g. reproductive system) differently [2].
> Some of the legislation championed by women lawmakers, such as the enactment in the early 1990s of the Violence Against Women Act and the Family and Medical Leave Act, are remembered as signature achievements more than a generation later. But other victories were shockingly prosaic, correcting gender inequities that few would now believe lasted as long as they did, from giving women access to credit to ensuring that medical research included women as subjects.
A good example of the kind of prosaic mentioned: most people do not know that the NIH was not required to include female subjects for drug trials until 1993, though it is shockingly obvious that a drug could affect female bodies (e.g. reproductive system) differently [2].
[1] - https://www.theatlantic.com/politics/archive/2019/07/how-wom... [2] - https://grants.nih.gov/policy/inclusion/women-and-minorities...