I've lived in FL for more than 65 years. I lived near St. Petersburg (in 2 beach towns) for 5 years. Have lived in the center of central FL (about 1/2 way between Tampa & Orlando) for 60 years. Went to college in Pensacola for 2 years. I've loved all of those areas of Florida.
The state and counties have built hiking, walking, and biking trails in many parts of Florida. They're favorite places for many people. We also have quite a few state and county parks to ride in. My nephew's a long distance biker and never has a problem finding roadways and trails that are safe places to ride. My neighbors rent out a house to winter visitors who are bike enthusiasts, and have been coming down from NY for the past 4 years. They've never had even a scare even while riding along roadways anywhere in a 50 miles radius of here. Most bike/auto crashes you read about are in congested areas of major cities.
As far as FL being too conservative in general...I disagree. I'm sure it varies quite a bit from area to area though, like in any other state.
ETA: Forgot what your son mentioned about people driving like nuts. Those are usually people in the major cities (think Tampa, Orlando, Miami), or on the interstates. Then there's the northern winter visitors who come down every fall-early spring...who drive like the road belongs to them and only them. They're definitely not the speedy drivers though.