Despite cold-solving more than half the clues I am nowhere near working out what to do to create a symmetrical grid.
Thinking laterally I've tried to work out what the quotation might be, using two methods:
1. Write out the two sets of index letters and look for possible six-letter sequences - 'who', 'and' and 'you' seem to be in there;
2. Think what might be possible for AN across - surely the word 'I' must occur twice?
There are some identity-related quotations on the internet that partially fit the bill, but if 'word divisions' means the break between words then they can't be used.
I'm particularly unhappy that the lack of a reference to ODQ may mean that the quotation is very obscure indeed.