No, he was making the point that Mexican culture is "dominant" meaning that one of its values is to become the dominant influence in an area. In other words, to impose its values on the areas where the culture moves into. Or put more bluntly, to resist assimilation, and cause the other cultures to assimilate Mexican cultural concepts.
The concept of cultures with "dominant" tendencies isn't new, in fact that's one of the reasons people from England colonized the world for centuries. Islamic Arab cultures also have "dominant" tendencies, as is apparent from their history and actions today.
While every individual acts on their own values, and attempts to extrapolate individual behavior based on broad historical trends, or societal values as determined by analysis of group behavior are unreliable, the values of immigrants certainly shape society.
The spokesman made a very valid, although perhaps subtle point. The immigration of large numbers of individuals with a particular set of values will result in a change in society, and if that group values its own cultural dominance, then the immigrant group will move society more towards its culture than assimilate into the existing culture.
Your explanation was far better than his. That’s a very distinct and significant point to make. Muslims have that in common, but to a more threatening effect. Most likely he was nervous on the air, plus, English is his second language.
I’ve never been interviewed on the spot like that, where you were expected to come up with a cogent sound bite in “X” amount of seconds. At very least, he got the conversation going.