Military interference in foreign matters is never a safe or easy matter, and sure, economic and political interests are very much a factor. I don't think that is even denied.
The USA will avoid direct confrontations with Russian military forces if they can help it. For very good reasons, among them the desire to avoid escalation. The anexation of Crimea was almost entirely a matter of establishing political control, with nearly no loss of life and very little reason for any outsiders to even attempt to interfere.
Burma/Myanmar's situation is complicated and there is no clear benefit from a hypothetical external intervention.
Lybia is an entirely different matter. While its internal situation seems to have worsened considerably since the fall of Gaddafi, one can hardly fail to acknowledge that his leadership was worth of at least some legitimate worry from outsiders. It was also very much a military civil war as of 2011, so it is not like peace could be attained by staying out of it.
And, frankly, Gaddafi was a dangerous madman in the first place. The question here is not of whether he should have remained in power, but of how he should have left it and what should be done to establish some sort of political authority after that.
Perhaps ironically, it seems clear to me that Lybia is a prime candidate to actual nation-building... something that the USA seem to be unable to do even name correctly, let alone do anywhere. In their defense, it is quite the quagmire even under ideal circunstances.