We live in heterogeneous societies with many cultural and ethnic minorities. The cultural composition of our societies changes over time as a result of immigration, fertility choices, and cultural assimilation. Studying such population dynamics, we examine the effect of integration policies, which increase the cost of direct cultural transmission, on the size of the cultural minority. We show that integration policies, while often aimed at reducing the minority's size, may have the opposite effect of increasing minority fertility and its growth rate.