I’m just wondering if even with this factor, and with all things being as OTL, you’ll end up with some form of rivalry when it comes time to decide whether to go north or south (hokushin-ron vs. nanshin-ron). Two different options with two different consequences and I wonder if with the stakes involved for the Empire, differences of opinion and the taking of sides as to what the best option is will be unavoidable.
I mean sure, but the OP isn't asking for
no rivalry, merely a
manageable level of rivalry. One could compare to the United States, where the Army and Navy were hardly best buds (and the Air Force, even if technically part of the Army, wasn't exactly in a committed relationship), but they were nevertheless able to manage this to achieve their goals. Partly this was because the United States had the resources to "do everything" to some extent, but you could definitely improve the IJA/IJN relationship without needing them to be completely on the same page about everything.
Alternatively, of course, you could have one or the other side (probably the Navy for obvious reasons) essentially "win" completely so that the other side simply doesn't have the political power to sustain any serious rivalry anyway. This would be something like the Navy would be completely driving the strategic picture and the Army would be reduced mostly to occupation and gendarmerie troops, as well as reinforcements for the Japanese marines in more difficult cases. The Army would presumably be trying to escape this, but might find it difficult.