Yes, the Baker Act (in effect since 1971) appears to be Florida's version. The fail-safe if it were abused is that the mental health agency would turn the individual loose in short order. In my experience, they are almost overwhelmed and have no interest in holding anyone who doesn't belong there. Before a court petition is filed, two psychiatrists have to agree that the individual is a danger to self or others as the result of a mental illness. In my opinion, limiting the access to guns by those with significant mental problems is probably about the only thing that realistically can be done to help stem the tide of senseless shootings.
I used to be a gun owner, to the extent of doing my own reloading. I own none now and never will again. If I were starting my own country, there would be no guns. But with 393,000,000 guns in private hands in the U.S., the horse is out of the barn. The real issue is mental illness and the free-floating rage that seems to be affecting such an astonishing number of people. About all we can do is take what small steps we can.
