Devi eseguire un outer join con una tabella che contiene una riga per ogni mese. Supponendo che tu non abbia una tabella del genere, puoi crearla al volo con una query UNION hardcoded:
SELECT * FROM
(SELECT DATE_FORMAT(now(), "%b") as Month
UNION
SELECT DATE_FORMAT(now() - INTERVAL 1 MONTH), "%b")
UNION
SELECT DATE_FORMAT(now() - INTERVAL 2 MONTH), "%b")
UNION
...
SELECT DATE_FORMAT(now() - INTERVAL 11 MONTH), "%b")) AS Months
LEFT JOIN (SELECT DATE_FORMAT(drives.timestamp, "%b") AS Month,
drives.timestamp,
DATE_FORMAT(drives.timestamp, "%d-%m-%Y %H:%i:%s") AS Exact_date,
drives.departure,
drives.destination,
drives.route,
CONCAT(drivers.name, " ", drivers.surname) as driver,
drivers.id as driver_id
FROM drives, drivers WHERE drives.driver = drivers.id
AND drives.timestamp > DATE_SUB(now(), INTERVAL 12 MONTH)) data
ON Months.Month = data.Month
ORDER BY data.timestamp
Tutti i mesi senza record avranno una riga con NULL
nelle colonne dei dati.