Then absolutely there is no reason to not hook it up. $25 or less and 15 minutes of putzing around, getting a bracket fitted and the cable set/adjusted right, and it'll kick down like it's supposed to when you stomp the gas. You can buy universal/adjustable brackets pretty much anywhere. Just buy one by looks more than anything. Got mine from local O-Reilly's dirt cheap...pretty sure it was a Mr Gasket brand I saw sitting on the shelf.
Tons of options popped up with a quick Google search: http://www.google.com/#q=th350+kickdown+bracket&source=univ&tbm=shop&tbo=u&sa=X&ei=FOnWUculOoakrQGitIHgCg&ved=0CCoQsxg&bav=on.2,or.r_qf.&bvm=bv.48705608,d.aWM&fp=739421dc22eac3be&biw=1344&bih=743
