However, the political implications were more than just impressing the Soviets. It was also used to hurry along the Japanese surrender before the Soviets had more claim on the Japanese mainland.
I agree with that to a fair degree, the US had borne 3/4 or more of the Pacific War, so pretty rightly felt it was due the spoils. Keeping the Soviets out of Japan would be important but compared to avoiding the butcher's bill, I think the even most cynical pinko baiting politician would put getting bodies back alive above all else. Can you imagine the reaction of the US public when it came out that the US had nukes but didn't use them and had to invade.
Your assessment is more generous than mine.
Maybe, maybe. I have had spats in the Religion & Politics and have been accused of not considering/understanding, say, why the US didn't enter the war until attacked. I won't pretend I understand other than the major underlying political currents of that time. However I do try to put myself into the mindset of those involved. I have only the vaguest ideas of things like the logistics required to build, supply and ship multiple armies to distant theatres of war. I may have a good reputation here for WW2 history, but if you could read my mind when I post, you would realise how ignorant I sometimes feel when asked about stuff. Really, truly ignorant.
However I do understand the desire to avoid bloodbaths. Sons, fathers, brothers, even daughters, mothers and sisters who will not come back. I have had to make the decision to have some of my beloved cats put down when all hope had gone, that was very hard but necessary. I have never had to make such a decision with regard to a human being and hope I never will. Now while there have been far too many military and political sociopaths who did not give a fuck about casualties as long as they looked good, we were fortunate that among the Western Allies the majority of the military and political leadership retained basic human decency and sanity. As it was, the US suffered ~420k KIA/MIA. That's 1/10 of the population of the Republic of Ireland.
Yes, such a decision would be "political", but the whole decision to pursue the war was "political", Clausewitz's axiom of "War is the continuation of politics by other means." I believe to be so, so true. While you don't want a freshly elected backwoods rube to run your armies, the overall strategy and priorities are, indeed must be, political choices which you then hand over to your military professionals to implement.
So given the lack of knowledge of enemy intentions back then and having a weapon that might have the effect of shocking the enemy into surrender, if I had to make the decision I would almost certainly have said Yes. Other factors would be just icing on the cake.