Not really. Somebody more informed than I would be better. I would research each for a better understanding of what each does. I know that DE slices crawling bugs into pieces, so they die by moving through it. Bt, I believe is a poison, I have just became aware of it, Neem oil kills on contact, I think. I just haven’t had much trouble with bugs, so I am not the best person to answer that question. Maybe somebody else will read your post and chime in.
BT is bacillus thurengensis (sp). It's a bacteria that gives larva, tomato horn worms, etc, a bad stomach ache, and they croak.
BTW, Bacillus israeliensis (sp) is the stuff in those mosquito dunks that gives mosquito larvae/wigglers a stomach ache so they die.