Our deepest fear is not that we are inadequate. Our deepest fear is that we are powerful beyond measure.
(The rules says broken squads can't fire....
The rules don't say this. They do say that a broken unit can't fire *a weapon* (rule 3.2.3).
Since broken units generally have a range of 1, they can indeed fire at an adjacent enemy unit (possibly further if aided by a friendly leader stacked with them -- rule 126.96.36.199).