He had a lot of very ambitious plans. Settling the new world, reclaming andalusia for the muslims, seizing the sahel, etc. Whether or not any of that would happen is another matter, morocco had it's own problems and for all his bluster he rarely did anything actually reckless.
This was a man who claimed that he was the rightful caliph rather than the ottoman sultan but never actually acted unfriendly towards the ottomans.
Could you get an anglo-moroccan alliance? Sure, Elizabeth talked with moroccan diplomats and set up a trade company to deal with them. The guns Al-mansur used to to destroy the songhai and mali empires were bought from the english. And the morrocan slave sugar plantations in the sus valely were england's main source of sugar during the last years of elizabeth's reign. But, same as with russia, Elizabeth was reluctant to agree a full out military alliance as opposed to an economic one and al-mansur wasn't that eager to take on spain himself, after defeating portugal in the battle of the three kings he didn't really need a battle against the europeans to prove himself.
You need her to be more desperate and al-mansur more eager to retake the iberian port cities in morocco for an alliance to happen. A worse anglo-spanish war will do it.