Are you put off Oxford because of the Bullingdon Club?
This sort of rubbish happens across the country - I'd bet that it's there, under the radar, at every university in the UK.
It's not the universities - it's parents who raise children to have these views. Most academics I know from all kinds of universities (including Exeter) work extremely hard to counter such vile sexism & racism. BUt we know that it's there.
Ask any female academic about the low-level sexism she has experienced from male undergraduates. It's there, all the time. Ask any academic of colour about the low-level persistent racism they experience. It's there.
For example, there's been some very interesting research about the way that student evaluations of teaching are much better at indicating students' sexist and racist biases than assessing the teaching of the lecturer being assessed.
So, parents, look to the values you are encouraging in your DC.