Karoo you do realize you should attempt to armory people and research things a little bit before posting. Let me introduce myself. I am Gladiator Sey/Yes.
This is one of my previous 2v2 teams. I am not going to boast but I think I speak from much bigger experience then you do, Karoo. Let me illustrate the way an sl/sl + discipline priest is going to play the match, first assuming that the warrior is going to sit on a warlock. The warlock is going to keep a full set of dots on the warrior. The priest is going to keep SW:P on the warrior. The warlock will attempt to
drag the warrior out of LoS of the druid. The priest is going to attempt to
psychic scream the druid. Due to warlock's high mitigation and priest's healing methods the priest is going to have a lot of global cooldowns while chasing the druid to either
dispel the warrior or
spam damage on the warrior. Once the warlock is in a position such as
this the druid can only heal the warrior from one of these (green) positions. On other maps the druid's positioning is even worse and the strategy the druid warrior team needs to use is to run away. Now, once the warlock is in position he is in fact spamming searing pain and attempting to squeeze a
fear on the warrior between his immunes. He is able to output DPS on the warrior between dots and life drain / searing pain spam.
If you were not aware, priests are capable of quite impressive burst damage. I suggest you look into watching some movies by
Hydra to understand how Disc priest damage works in arena, but just to make sure the basic idea is that while the warrior's intercept is down and while the fel hunter's silence is up the priest can land a Holy fire > Mind Blast > SW

combo for 3000~ damage.
Now, the reason why a druid can not successfully stop this is because the priest is in fact
pressuring him with fear, the druid is spending a lot of globals to refresh dispelled lifeblooms (At 3 stack, so the tic does not go off), and when the druid does get a position to attempt to cast a cyclone the
fel hunter gives the priest those extra 3 seconds to either get a fear or run away.
Now, the complexity of the metagame comes in. The warrior should attempt to intercept the priest every time he gets in a position where he can pressure the druid. During that time the warlock will either cast a shadowbolt or gain better positioning, dragging the warrior further. The priest is going to drag the warrior out of LOS of the druid if the warrior is sticking to a priest, so that the druid will have to run straight through a warlock with deathcoil, silence, curse of exhaustion and fear to actually heal the warrior. As such, the warrior will be forced to switch to the warlock, giving the priest time to either drink or get positional advantage on the druid once again.