1.More bus-only lanes will be introduced within the next six months and others are on the drawing board. :D
==> the next six months refers to the future, so 'will be' is best. You could also you 'are going to be'.
2. Are you willing to let your life be controlled by others? :D
==> The object of willing to let is a clause, 'your life be controlled by others', and that clause is in the passive voice. Here's the active:
Active: Are you will to let others control your life?
Active verb: control
Object of the verb: your life
Structural Subject/Semantic Object: your life
Passive verb: be controlled
Semantic Subject: by others
Are you willing to let your life (Semantic Object) be controlled (Passive verb) by others (Semantic Subject)?
All the best, :D