Any team with finanical flexability would do that, but think about it, the Tigers also gave up Edwin Jackson in the trade and only had a 3.61 ERA last year and a WHIP of 1.26. A career year, and they gave up him and the most reconizable player in the organization outside of Justin Verlander.
Sure the Tigers got: Austin Jackson, Phil Coke, Max Scherzer, and Daniel Schlereth. But how many of them are actually quality arms. Schlereth is a medicore LHH specialist, as is Phil Coke who will now apparently be stretched out as a LHSP. Scherzer shows great promise and until Jackson's power outage in AAA, he seemed like a good prospect as well. Granderson was only 28 years old, entering his prime and Jackson was 26. They did get back two promising players, But no sure things...
I wouldn't say the deals make sense player wise since there is no real "top prospect" being sent their way outside of Scherzer for two very quality players who aren't all that expensive.