Wouldn't they get that exposure during university though? I certainly had long-held views challenged and changed during my time in college, where I was exposed to a much larger spectrum of the population compared to my predominantly Caucasian, upper-middle class upbringing.*
* I briefly attended a UK postgraduate institution.
Was at Cambridge. There are no male-only colleges and two (iirc) female only colleges. Can't speak for Oxford, but I suspect a similar situation.
That being said, I'm not sure what the gender ratios are at the historically all male colleges. Perhaps they are not close to 50:50 (apparently this is the case with US business schools, where the ratios are often 65:35, and often have a bro/fratty feel to them)
* I briefly attended a UK postgraduate institution.