Answered in Sticky in Gun Laws. Do some reading there and you will learn a lot.
- FID and LTC are independent products. You are entitled to possess both at the same time. Some PDs say otherwise, but they are only showing their arrogance and ignorance. The law is clear.
- Even if you took a LTC-qualified course to get your FID, be prepared that many chiefs will DEMAND that you take another course. It's just one of those grenades that some CLEOs like to throw in your path to try to discourage you from proceeding.
- I wouldn't take bets that the state database is that sophisticated! The entire database does not benefit you or I, so I wouldn't worry about what they can find or not.