Yes, that's a good way to explain it SaF. I think one of the reasons that this subject is really interesting is because it can help us to explain why women themselves can be so resistant to feminism.
The 'inner voice of sexism' actually becomes part of us and part of our identity. Therefore feminism makes women uncomfortable because is perceived as to be questioning our very identity by questioning values and paradigms that we have internalized.
This natural human process of internalizing is a hugely powerful tool for a system like patriarchy - women police themselves and collude in the oppression of their group by acting on/holding internalized patriarchal values.
I think it is also a major reason in why having one's feminist consciousness raised is such a painful process (that and suddenly being able to see that the violence against women as systematic).