Hi , whyt don't you keep the sidekick transmision-transfer case and just add the sami's t-case.
You would have to use a really short driveshaft to mate the to transfer cases , and you will have a killer driveshaft angle to the rear diff ( maybe a CV to correct that?)
BUT , you could mess with lot's of gears.
sidekick t-case 1:1 or 1.82:1 , sami t-case ....

1.26:1 ? 2.16:1?
someone please give the correct numbers