These are mostly my observations and interpretations of scenes that may suggest romantic implications between Yuu and Mika.
(I also enjoy writing analyses or random commentary outside of the ship, so when that happens, you'll find a * symbol in the...
I remember reading a small summary, related to the 2nd volume of the Michaela light novel, that Mika witnessed a rape-attempt on a girl in Sanguinem by a group of boys. Mika decided to ignore it until Yuu threw a rock at the boys and tried to save her (so at that moment, Mika was then involved).
One thing I found interesting is that Mika asked Yuu, after being beaten up, why he didn't just hit the rock over the heads of the harassers, and Yuu replied that it would have killed them (meaning that Yuu didn't like the idea of humans killing other humans).
All of this from the novel tells us that Mika didn't particularly prioritize other humans' lives over his family's at the time.
In the manga, however, Mika saves a girl he doesn't know this time even though Yuu is at this point his highest priority.
So, why does Mika choose to save her?
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The answer might actually go beyond just having morals or caring: Mika did it because Yuu would have done it.
To Mika, Yuu is the person in which Mika can't stop thinking about, and one of the things about Yuu is that he is a kind person, a trait in which Mika may have found himself admiring in this sort of wreck of a world.
Even though at this point of the manga, Mika had already let go of his beliefs in family and possibly morality, he still saves the girl (which is certainly a moral thing to do) which implies his inner devotion to one of Yuu's ideals of "humans not killing other humans." This also serves as a way to cope with not having Yuu around, preserving a memory or a part of Yuu.
I guess Yuu really is someone to admire sometimes. Can't blame Mika for liking that.
