Myth
This would be a terrible time for a convention. We’ve never been more divided than we are right now.
Fact
Actually, we’ve never been more divided than we were in 1861 when we were literally about to start slaughtering each other in farm fields.
What else were we doing in 1861?
We were holding the Washington Peace Conference, a convention of states to help stave off that war.
State-led, State-controlled
The states controlled the convention. The states voted as states. And the states even proposed a Constitutional amendment that they delivered to Congress.
source: https://en.wikipedia.org/wiki/Peace_Conference_of_1861