Gevurah is generally understood to mean restraint. Like the strength it takes parents to watch their toddler fall on her rump, because that's the only way she'll learn how to walk. Rushing in to help isn't always the best choice. Which is why Qabbalah portrays Gevurah as being in dialectic tension with Chessed. Hashem is "Gomeil chassadim tovim -- supports us through good instances of chessed", but "stands back" with Gevurah when the chessed wouldn't be tov. (See Zohar, Naso 267; although the toddler metaphor is mine.) 

Hashem's general rule with people is to give us room to make our own history. Only stepping in rarely, and usually in ways that still leaves us some room for free will. (Maharal, Chiddushei Aggados, Sotah 33)

And so, Gavriel -- G-d's Gevurah -- typifies most of His interaction with people. Notice how many items on your Gavriel list were stepping in after He let us make a mistake.

Whereas Mikhael -- Who is Like G-d? -- is employed when nature is violated in an obvious way, such as in your Mikhael example, when a woman decades past menopause gets pregnant. (Whereas Refa'el came with, as did Mikhael to punish Sodom, Amora and the other cities of the planes.