It is, but it is one that every effort is being made to erode. You and your children have moved to the language of the mainstream, because success is impossible without it. But there is an ongoing campaign to reduce or eliminate the need to adapt, yet just enough to "get by".
Personally, I believe that it is ultimately more damaging to facilitate the language ghettos than to put pressure on the early adaption. They become like generational welfare bums: just comfortable in the position to coast and never achieve. It creates an easily manipulatable population for the Galavision crowd to control.
Honestly, the need to adapt isn’t because of wanting to succeed or wanting to be mainstream. Children who are born in the US, just don’t have cultural ties to anywhere else.
When I moved to Georgia, (age 7) I lived in an English speaking area, with little hispanic influence. I learned to speak English because I wanted to, more than that I was forced to. I entered the English speaking school, and wanted to be there. Had I not been able to keep up, my parents were prepared to move me to a Spanish school nearby. I wanted to stay.
My children live in a very hispanic area, where there are plenty of Spanish speaking stores, people and schools. They can attend Spanish Mass. They are all able to speak fluently, but they reject the whole thing. They refuse to speak in Spanish, even when I speak it first. If you asked them why, they would tell you that it sounds “stupid” or something equally as meaningless. What they really mean, is that they want to be different from their parents and grandparents. They are American, and they speak English. They have no cultural ties to Brazil or to Puerto Rico.
It is a natural progression, and has happened to everyone I know in a similar manner. Cultural ties are strong and they take a while to break. The first generation born and raised in the US, is always more American than the generation that immigrated. It is caused by a need for independence more than the necessity of survival. I seriously doubt that the availability of Univision or other Spanish language programs have any effect on whether immigrants learn English or not. If they want to, they will. If not they won’t.