That circuit does not make a lot of sense; it is not at all clear what you are wanting to achieve, or what parts you are expecting to use??
Go through each part of the circuit concept in detail - and what you are wanting the overall thing to do?
eg. "Micro servo" - do you mean a radio control type pulse-operated servo, or a bare motor with gearbox or leadscrew?
What is that supposed to do, in each state of the switch - does it have set positions that is should move to, or should it turn at a fixed speed, or just start & stop???
Servos are normally position controllers; with an RC servo, the position control is internal, set by the pulse length. With a bare motor, you need position feedback or limit switches so the positions can be defined somehow.
Have a look at one of my old articles, here - the 555 circuit alone generates pulses to set an RC servo position, depending how VR1 is adjusted.
(The gates form a data selector change-over switch, between the 555 pulses and the pulses from the RC receiver).
You could use two or more of the 555 part, with a data selector controlled by your logic to feed the appropriate pulse to the servo.
Or just one 555, with analog switches or FETs connecting additional preset resistors in parallel with VR1 to allow the pulse length to be directly changed by logic control.
There are many possibilities.