I could see it as boring, but I'm the type of person who's amused at every little thing. Just watch out for the
Key Deer.
Piece of advice: In and around Fort Lauderdale, hop on 595 West to the Turnpike South and take it to the end. You'll bypass the traffic and construction on I-95 and the speed limit on Route 1 (it's like 35 or 40 through Miami and points south). It's $4 from that point, but it'll be much quicker, meaning more time to booze when you get to Key West.
Unless you want the leisurely drive. On our way to Key West, we took 95/1 and it wasn't bad.