@Peter_Fitz A ‘free for all’ would be the best approach. 24x7 drive through service in major population centres. First come first served. Let people return for their second jab of their own accord. A live social media feed for the avg line wait at each centre.
It’s time to build. Excellent questions raised by @pmarca on what to do next. Most of this applies in an Australian context too. I’d add super fast broadband for all to the to-build list.