I am currently in central Connecticut and it drives me crazy that natives employ the "glottal stop" for t's in the middle of words. To my (prejudiced) ears it

I am currently in central Connecticut and it drives me crazy that natives employ the "glottal stop" for t's in the middle of words. To my (prejudiced) ears it sounds vaguely ignorant: Bu'on for button, the town of New Bri'ain. There's a pause where the 't' was, but no sound.