While Spruance may be bringing cruisers and destroyers to fight, the bulk of this Operation Blazer seems to be a British lead operation, as we haven't seen any corresponding action by Nimitz, Fletcher, Halsey, or any Hawaii based units.
The British would also have a lot of targets or pieces of real estate of their own or that of the Dutch that they would look at before the Philippines.
Most of the forces seen here are warships. To seriously retake the Philippines, there's going to need a massive fleet of transports bringing at least a division plus support units at minimum. More likely a large army corps sized formation at least. There's been no indication that such a force is available or has been assembled, Montgomery isn't going to let go of his troops that he will likely need to clear Malaya and push into Thailand.
A lot of Allied units on Timor or Java or wherever, even after the Japanese are cleared out, will need at least 2-3 months to rest, train, and reequip before going elsewhere.