If you want to see examples of frum men who remain frum, and have no secular education, somehow learning proper English and a lot more, speak to any Chabad shluchim who are originally from Brooklyn and have been on shlichus for a couple of years. Oholei Torah has zero secular studies – it makes the Satmar system look like Choate or Philips Exeter – and somehow graduates from there manage to learn English, computers and a lot more on their own once they need to gain skills to get ahead in their shlichus or even regular careers.
I have an Ivy League degree and I did not learn ONE thing I use in my real life at college. If I could have done it all again, I would have used those four years for learning Torah.
Anyone can now catch up on missed secular learning online. That means that only those who really observe Internet bans and library bans will be left in the dark.