Not one bit. Classic stories like Tarzan the Ape Man and The Jungle Book exemplify that one's own is sometimes a distant second to those who they were raised with and by. Bonds of flesh and blood are weak compared to the bonds forged through a life together.
The common complaint when it was first announced that Dante was a nephilim (demon/angel hybrid) was that it somehow completely removed his compassion and will for protecting humanity, because he could no longer empathize with the humans. All in all, it was a very shortsighted and unimaginative complaint.
Even throughout the whole of DmC you can see how Dante begins to understand and empathize with humanity. They were an oppressed race, just as Dante was. Dante spent his entire life up to that point fighting tooth and nail against demons for his right to live, his own freedom. Humanity didn't have that luxury. As he worked with the Order, he heard of Kat's troubles, and the plights that all of humanity faced, and he understood that race meant nothing, all that matters is choice and freedom. Even other demons were persecuted (Phineas), altering Dante's perception of even who his enemy was; not demons as a whole, but Mundus and those who oppressed.
That's what DmC was about - rebellion against the established order, and the virtues of individual freedoms. This is even exactly what put Dante and Vergil at odds.