I'm replying to explain what we did in case it is useful to others. In our case fortunately the minimum order quantity is always the multiple by which we want to increase the quantity. Is if the minimum quantity is 1, then 1,2,3,4,5,6,7 etc. If 6 then 6,12,18,24,30,36 etc.
We copied the file view /product/show_quantity.php to frontend template override. We grabbed the variable $min_quantity and we replace every occurrence of data-dac-qty-mod="1" with data-dac-qty-mod="<?php echo $min_quantity; ?>" and data-dac-qty-mod="-1" with data-dac-qty-mod="-<?php echo $min_quantity; ?>"
Now when we use the plus and minus button the quantities increase by the required quantities.