The US had around 20 Army Divisions go thru the PTO during the whole war.
ETO, 42 Infantry,15 Armored and a couple Airborne.
You don't need a million man Army for the PTO
Its 22. 6th ID entered combat June 44, 7ID May 43, Americal Oct 42 24th Dec 41 ( as it on Hawaii thereafter Jan 43) 25 ID Dec 41 as on HI then part Aug 42, 27th Nov 43, 31 Jul 44, 32nd Jul 42, 33rd sep 44. 37th jul 43, 38 Jul 44, 40 Apr 44 41 Jan 43, 43ID feb 43 ( but note part is on Guadalcanal part in NG) 77 may 43 but its first listed campaign is june 44, 81st Sept 44, 93rd March 44, 96 Oct 44 ,98 April 44, 11 AB may 44, 1st Cav July 43, Philippine Division Dec 4 - may 42
So yes with a start date for mobilitation around October 1940 by Jan Feb 43 you could deploy TTL start date Dec 41 so say Summer 44 the US would have a 8/9 Army nd may 2 Marine divisions divisions capable of at least administrative landings in small batches. Every unit outs HI and PI entering combat in 42 - 43 does so in the Solomons or New Guinea with at best very short hop and small scale landings against by then limited opposition with very limited air and naval support.
The lackof an ETO gives some more units but probably no more than 3 and
And this is basically the profile of the US deployment throughout WW2. A very limited force in q1-2 42, a jump in early 43 then another in q2-3 44 then another EO 44 and 45.
Without the the war in Europe though everything including most of the 42 units is shifted 18 + months downstream. Realistically some units could have been fielded TTL in 42 but at the expense of training cadre for later units which may be acceptable until you start planning Olympic.
Its not the absolute number of Units available that matters. its the number you can deploy and supply in the available terrain. The US took Tarawa with one Marine Div one Army RCT and an Army Bn.
And TTL in Summer 44 they would be able to do the same. But not a whole lot prior to that. 1st Marines going in in August 42 will just get obliterated after they land The USN has to retire 2,500 miles the IJN maybe 600. And that assume Makin is taken out.
So you are going to have a very hard time to find a way to get a war between the US and Japan that does not get GB and France involved as well.
I would tend to agree but the European 'price' is the US participates in collective security everywhere. Its possible the US makes another calculation and expects that the Europeans will follow along with US unilateral demands and they do not, and Japan lashes out.
This does not mean that in the phony war after the fall of the PI and before the US counterattack the Europeans dont turn Rabaul into a massive bomber base that makes truk untenable in the event of war and issue its own ultimatum based on Status Quo ante Marco Polo leaving div Chinese to fight amongst themselves. or for that matter that the Fleigende Tiger and their 109s dont cover themselves in glory in the defence of Chungking.