They were practically held together by duct tape. A 32 year old turning in a career season (and playing with the motivation to restore his standing in the league, which has more or less been accomplished) and a 40 year old, who's probably going to retire, occasionally turning back the clock to play closer.
Even if you add Tatum, the best case scenario would be barely making the playoffs, getting blown away by the Warriors or Rockets, ending up with a middling pick and getting on the treadmill of mediocrity.
If they have any sense, they should absolutely look to sell high on Aldridge (he's an awkward piece, so I still don't think his value would be commensurate with his ability). Between the two trades, that should leave them well on their way to an accelerated re-build/load, however you want to term it.