Assuming that the decision is to made after the Mid 1940 Japanese invasion of French Indo China - because before then its unlikely that Japan can sustain an invasion of Malaya.
Singapore has to be defended at the Kra Isthmus and with far more aircraft and more/better troops and better equipment than were provided OTL
The first is a political decision and the 2nd requires troops and equipment to be pulled pretty much from active warzones to somewhere where there is not an active war zone
I can see the potential for aircraft and divisions released from the UK garrison (more on that in a sec)
This is easy for me to say from my comfortable seat in 2021 as the UK represented the then armoury of the Allies (it would take another year or so for the USA to catch up and then race past the UK) and so defending the UK from any potential invasion was still a consideration then.
But I could see perhaps a braver decision being made to release several divisions from the 27 odd in the UK at the time (and Possibly a Canadian one?) for service in North Africa releasing the Australian Divisions and corps troops as well as 1 or 2 Indian Army Divisions for service in the Far East
Send a few hundred tanks hell even Covenanters for the Aussies to learn tank warfare - yes its a bad tank but its much better than no tank and I think it would show up the IJA tanks in combat (if proof was ever needed that a bad tank is better than no tank see the Battle of Slim river)
Release 2 or 3 wings of Spitfires Vs (with suitable reserves) for service in North Africa/Malta in Mid 1941 and send all P40s to the Far East (along with all RAAF units) - this will give the DAF parity with the Luftwaffe's JG27 fighter wing and its 109s that were enjoying a superiority over the P40s and Hurricanes in theatre
Have the several hundred P40s delivered to date replace the 169 odd 'porcine' F2's in Malaya - that should provide 5 or 6 Squadrons - about 200 operational P40 fighters and allow those replaced F2 aircraft to reinforce the Dutch and Chinese
Have
Stuffy sent out to build an air defence network C3 system worthy of the name and improve the existing bases i.e. revetments, shelters, satellite airfields and dummy airfields etc and to train the fuck out of the local air forces
Send out Gen. Ironsides to bully the locals
Put Blamey in overall charge as the extra Aussies arrive placing the 2nd AIC as the core formation (with 3 Divisions and a tank Brigade)
Reduce the Hong Garrison to a tripwire force, accept its loss and use those units along with C force (if still sent) to garrison the Barrier island locations (Ambon, Timor, Rabaul) allowing for Brigade sized formations in each - send the 2nd Torpedo Boat Squadron to Kota Bahru and the 2 insects for use as riverine patrol craft on the West coast of Malaya / Thailand. If anymore MTBs can be sent from the UK Coastal Forces then great! The 3 Destroyers in HK are to be reassigned to Malaya and used as fast Minelayers on the East Coast and also used as part of Matador to help mine and capture the Thai Ports.
Place the Operation Matador into the hands of the newly arrived 2nd Australian Imperial Corps
Principle mission is to occupy the narrowest point of the Kra Isthmus and deny the East Coast ports of Southern Thailand to the Japanese if and when they try to invade.
This places 5 Divisions (14 Brigades) of Infantry in Malaya in 2 Corps plus 3 Brigade sized formations in Ambon, Timor and Rabaul
It will oblige the Japanese to significantly reinforce the Malaya attack and conduct it from Thailand and North of the Kra Isthmus and these forces would have to come from the Philippine Operation making that battle harder and forces allocated to follow on ops would have to be used earlier.
Assuming that the IJA can force the Commonwealth positions on the Kra Isthmus then I would expect that this fighting even in defeat would impose such attrition and delay on the IJA that would probably result in Malaya and therefore Singapore still holding past April when the rains come and therefore into 1942 by which time I would expect the USN and Far East RN units to have moped the floor with the Japanese Navy and come late 42 / 1943 the weight of British Empire and USA reinforcements would more than tip the balance.
If the reduced forces in the Philippines allow them to also hold then this would also prevent any follow up operations in for example Dutch East Indies
Unless more fleet assets can be sent Force Z is to be kept as a 'fleet in being' and not to be risked as per OTL - make the orders very clear - they are to wait until they can collaborate and concentrate with the UK reinforcements and USN Battlefleet SAGS and Carrier Groups when they arrive following any declaration of war from the safe anchorage of Pearl Harbour*.
Even if this mean tucking their tail between their legs and making themselves scarce.
Have far greater planning with the local allies - Dutch and US as to how they intended to fight and defend Malaya - and incorporate the Dutch boats and Harts subs into fighting in the South China seas - OTL this was a bit ropy to put it nicely.
I appreciate that the above is...too perfect. But the OP asked!
*What? Didn't be ridiculous. The IJN is incapable of such an attack. The USN Battlefleet is perfectly safe!