We could say the GOP qualifies based on race and gender - just look at a photo of the GOP in Congress. Virtually all white and nearly all male.
And I don't think it's fair to say that the Democrats 'quantify' based on race and gender - plenty of white men are Democrats in office - it's just that Democrats see a value in diversity, recognize that it's possible women, or minorities, bring a different perspective and that is in and of itself a good thing.
Here's a good example - this is the GOP panel in 2017 discussing healthcare, including things like maternity care, contraception, abortion. Notice what's missing?
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It might be that an all white, all male panel will properly consider the needs of women and the poor and minorities, but don't you think it might be good to have a representative in the room who is a woman while discussing subjects most important to...you know....women? If not, OK, but surely you understand why others might have a different view. Think about why you might not like it if 100% of the GOP were minority women from big cities, if you are a white farmer in the country. Maybe they have a different perspective on what the big problems are in this country than you do.