The president in TUC was right.
It's difficult to see how.
And ultimately, if he went after Kirk and McCoy, he would have played right into the conspiracy's hands of instigating war with the Klingons.
Not necessarily, it would depend on how well he handled the situation, simply caving in to the Klingon Chancellor wasn't the only option.
And war wasn't a given.
The president's job is to try and protect the nation while maintaining peace, which is what he did with that choice. And in the real world, at least with the US, we've seen presidents make choices like that for the exact same reason, by using diplomacy instead of force. Saving two men through force at the cost hundrds or thousands (or, if war does indeed start, potentially millions) doesn't quite justify it.
Chancellor Azetbur: "Mister President, let us come to the point. You want the conference to go forward and so did my father. I will attend in one week, on one condition. We will not extradite the prisoners and you will make no attempt to rescue them in a military operation. We would consider any such attempt an act of war."
President Backbone: "Yes I do want a conference and apparently we both want peace, but madam that peace will not be bought at the price of two men, or even one.
Chancellor Azetbur: "Mister President, what you're doing ..."
President Backbone (calmly): "Is my job and my duty. Madam Chancellor, your home world's atmosphere is heavily contaminated, you lack the means to both fight a major war
and save the lives of the majority of your species, we both know this. You require our help, which we won't be in a position to give if we're fighting each other.
If your wish is to die as a people, far be it for me to deign you this ... now then, do you release those two men, or do we come and get them?
Your access to peace
and survival, rests in the lives of those men. Or you can have neither
Madam Chancellor, what do you want, and how badly do you want it?"
