When you deplane at STT you have no choice but to exit the secure area. There is no way to get from the international secure area to the local departure area. Once you claim your bags the counters for the local flights are at the far left of the terminal. You enter a separate waiting area with much faster security.

Travel is fatal to prejudice, bigotry, and narrow-mindedness, and many of our people need it sorely on these accounts. - Mark Twain