Pointy,
I assume you would have all guns turning together?
I haven't had occasion to try this as yet but have given it some thought. My 6 channel set has a 90 degree proportional switch which I would use to activate a servo probably connected direct to one turret. Each turret would be connected to the next turret, ie 1 to 2, 2 to 3, 3 to 4, by a pulley and belt. Thus when the control turret turned, the others would turn the same amount. To ensure that the turret all turned to the same side you would need to ensure that the belt connecting 2 to 3 was a figure of eight configuration.
By use of a cam it should be possible to get the guns to elevate as they turned.
As I said I haven't tried it so I'm not sure if one servo could handle the load but I think the theory is good.
HTH
Cheers
Doug