Do Ignorant People Know They Are Ignorant?

I read one of those quotes or lessons in the form of a picture/infograph and it said

>>>THINGS PEOPLE DO NOT CHOOSE:

*SEXUAL ORIENTATION
*MENTAL ILLNESS
*GENDER IDENTITY
*DISABILTY
*RACE

>>>THINGS PEOPLE DO CHOOSE:

*TO BE IGNORANT AND JUDGE

GET EDUCATED!!!

produced by Mental Health Awareness Australia

I like this,  but I don't know if the last point is true... 
Ignorance definition: lacking knowledge or awareness in general; uneducated or unsophisticated.
And judging definition: form an opinion or conclusion about

You can't choose your 'development guardians', the teaching and experiences they provide is what's known as conditioning.  It's like the Stephen Fry intelligence sliding scale...  If you ask someone if they are intelligent,  an unintelligent person will say yes while an intelligent person has the intelligence to know how little they know and will answer no. How do you know what you don't know? What's my point?
I don't think a lot of people do choose to be ignorant, because they don't know they are,  if they knew,  it's not ignorance, isn't it implied by the meaning "not knowing" and judging is exactly what every human being does, by definition,  'form an opinion or conclusion about...' when and how did any of us get to the opinions or conclusions we have? Yes of course they have more of the possibility of opportunity to choose, than the more 'hard-wired descriptions' (race etc) but a choice is only in existence when there is multiple possibilities and that can only exist if recognised.  So if you can't recognise because of genetics (intelligence/chemical make up),  cultural or social reinforcements and especially conditioning,  then isn't it possible that there is no capacity for choice for SOME people especially if never had the opportunity to be taught by someone who can speak their 'language'?
Maybe the choice is not with them,  but with us? If we stop to ask why is someone 'ignorant' when it seems so obvious to us (and others) than as the knowing ones,  isn't it our responsibility to educate? It would be a laughable notion that the student tells the teacher what they will learn,  yet I feel like that's what we are asking 'ignorant' people to do "you should get educated" we say. If we think that they should do as we do, take our word for it and not give them a reason to change,  aren't we just as 'ignorant' as them? Find a way to get to know why they came to the conclusions they did and find out their fears,  their motivations, their knowledge of what they do and don't know, their identity might have been chosen for them a long time ago. There's plenty of things we think we know and stay with that until presented with new information, time, a new feeling, abstract proof, major event or just sheer persistence and reinforcements... Because how do we know what we don't know? ... You know :-p

If anyone disagrees, that's OK,  I'd like to get to understand your point of view because you might teach me something I didn't know or didn't consider :-)