First I would focus on creating the conditions in which it would be possible to relax the restrictions. We are currently working in the dark, not having any idea of who has it.
Get a program of mass testing in place, with the follow up of every contact for anyone who tests positive. Anyone exposed goes into serious lockdown with their families and is provided with social, economic and medical support.
Start with those on the front line, key workers (including teachers caring for children of key workers.
Continue to test, for those exposed rather than just those who show symptoms. People without symptoms are going to be even more likely than those with symptoms to be spreading it.
Social distancing to remain as just the way we doing things here. The way the treatment of blood as if for HIV became routine in the '80s to avoid stigmatising people
Once you have that in place, you could start easing the restrictions in area which could remain contained, say a small town. Observe the results and then adjust as you go along
Follow the science to find out whether people who have had it are indeed immune. What are the circumstances under which people could get it again? Different strains? Misdiagnoses of original condition
Alongside this, build up political agreement with individuals and parties. Be absolutely transparent about your plans and admit to any mistakes as you go along. Take people with you. Tap into the general public's willingness to be lead at this time.
Notice how in this global age we are all interconnected. Knock of the stunts
It would help to give up any idea of keeping contracts for eg ventilators for your chums who support your political party.
Accept that there will be people who try to scupper your best efforts and take the general people with you.