The English language has lots of phrases that suggest disorder or muddle. Specifically, we have phrases that refer to things being the opposite of what is normal. For example:
Back to front
Head over heels
The above expressions all alude to something being 'wrong' because things aren't in their expected place - apart from head over heels and bass-ackwards that is. They are usually understood to mean wrong or muddled but in fact refer to things being where they normally are. Like 'put your best foot forward' (which implies we have at least three feet) the commonly accepted meaning over-rides the dictionary definition.
In a literal sense these expressions are preposterous. Like other hyperbolic words - fantastic, awesome, unbelievable and the rest - preposterous has lost its original meaning and is used to mean 'ridiculous'. The actual meaning is 'having placed last what should be first'. The word spells out its meaning - the 'pre' (first) is made 'post' (last).
Inside-out is a 17th century expression that is still widely used. As well as being the title of many films, albums and books, it has been taken up as the name of a tennis shot, an archytectural style, even a type of cheeseburger.
Known in English since at least 1340, 'upside-down' is one of the oldest commonly used expressions in the language.
This US expression has numerous variants. Oddly though, the 'ass-backwards' variant that may seem to be the source of 'bass-ackwards' was actually coined later.
Topsy-turvy is an old English expression. It derives from the earlier 'top-over-terve' which means 'topple-over'.
Head over heels
Like 'bass-ackwards' this is something of an odd choice as an expression meaning disorder and muddle - our head is usually over our heels.