You guys are all awesome! This is why I love FT.
I have Global Entry and an APBT card, but I'll be with the wife and kids who don't have it. I haven't ever used Mobile Passport, so thanks for that tip!
So... Mobile Passport, TBIT, use the super secret security check by the connecting gates, special Mobile Passport lane, recheck bags after customs, walk out of TBIT and turn left to T3.
Got it!