My big concern down there in America is, if folks get crazy and LEOs need to step in and enforce quarantine it will make that quarantine ineffective and LEOs will become the new disease vector. Additionally if any significant portion of the population decides to violate the order than the LEOs, National Guard and even standing army won't be sufficient to enforce the peace - because the peace can't be enforced, peaceable society can only be accomplished through voluntary social contracts.
1. https://www.citynews1130.com/2020/03/31/fans-paint-murals-dr...
2. https://www.theadvocate.com/baton_rouge/news/coronavirus/art...
It may also become increasingly polarized with strong "I don't want to die!" and "I just want to talk to someone!" factions becoming increasingly set in their beliefs.
Civil unrest could occur at that point.
Just the folks who start to snap mentally over the next weeks and months will be a serious and growing problem, even if everyone who stays mostly-rational wants to continue to maintain distancing.