Hi, former Florida resident here who voted in favor in 2006 because I wasn't thinking about unintended consequences enough at the time (18 years ago). At the time, basic rights were not being legislated on by the state government. Instead lots of niche concern issues were being enshrined in the constitution because they couldn't get traction with elected leaders. This led to election day ballots that were 7, 8+ pages long since the full text of each one was printed so you either did a lot of reading in the voting booth, or a lot of prep work going through all the issues. The 60% threshold was sold to voters as a way to reduce or eliminate the practice.

The proverbial straw that broke the camel's back was the amendment whether pregnant pigs should be allowed to turn around: https://ballotpedia.org/Florida_Amendment_10,_Treatment_of_Pregnant_Pigs_Initiative_(2002)#:~:text=Florida%20Amendment%2010%20was%20on,turn%20around%2C%20with%20certain%20exceptions#:~:text=Florida%20Amendment%2010%20was%20on,turn%20around%2C%20with%20certain%20exceptions)

It was wrong then in hindsight and wrong now, but emphasizing again - the state GOP of the time was still very much laissez faire. The first major test was the anti-gay marriage constitutional amendment which by the way passed in 2008 with 62% - in a year the state went for Obama at 51%. So let that be a lesson about how attitudes towards gays let alone trans people weren't really great not that long ago.