I'd go for intake vacuum operated cylinder with piston and lever moving the VLI, more vacuum length +, less vacuum less length –
That way VLI would work automatically without need for additional system to control it. Even if you choose DC motor you'll have to use vacuum sensors unless you're basing input on rpm.
For first option (DC motor controlled by vacuum sensor) I suggest you too look at Turbo water injection kits that also use vacuum sensors and DC motors, only in their case DC motor drives the water pump.
http://www.dawesdevices.com/water.html
Basically, you need a hose connected on one end to one cylinder intake (since you have separate inlets not common inlet manifold), other end connected to vacuum sensor. Vacuum sensor breaks the circuit between the DC motor and the one line of the power source.
So, when rpm are down or when engine is accelerating (those are situations when VLI is most welcomed) vacuum sensor closes the circuit which powers the DC engine and engine will move the VLI using some gears, semi-gears and levers etc.
When engine picks up the revs and starts running smoothly vacuum drops and vacuum sensor breaks the circuit turning of DC motor and the weight of VLI should be enough to lower the trumpets and turn the DC motor and transmission as mush as necessary.
Simplest way than this would be if instead of DC motor you'd use electric magnet which would have better response but also require more power and less smooth operating.
BTW, it would be better to reduce size of those pics you posted or to just link them because they are stretching the post content (text).