Where to locate authors’ names in sentences?
Version 2 seems stilted; 3 is an unnecessarily verbose use of the passive voice. The choice between 4 and 5 is really a matter of the journal's style guidelines rather than an active decision you will get to make as the author. 

So the real choice here is between 1 or 4/5. The key thing to note is that you sentence draws attention to an actor and an action through your choice of subject and verb. (See Joseph Williams, Style: Lessons in Clarity and Grace for a superb discussion of this and many related principles)

In 1, the actor is "Johnson" and the action is "argued".  In 4/5, the action is "This" and the action is "will not work". Thus if your intent is to draw attention to the fact that Johnson made this claim, as you would e.g. if discussing a history of ideas, version 1 might be preferred. If instead your intent is to draw attention to the claim itself, and the reference to Johnson is simply a matter of good scholarship, 4/5 will be preferred.