Humans have functions of the higher brain that are often at odds with the functions of the lower brain. Us-vs-them mentality is something innate, moderated by the higher brain only in recent evolutionary history, and far from eliminated. Tribal differences among our ancestors would be displayed by only subtle cues, such as differences in language, clothing, hairstyle, jewelry, and weapons. Those differences would trigger an attitude of distrust and caution at best (appropriate for intertribal trading and alliances), or a fight-or-flight response at worst (to prepare for ambush), and, if you didn't stand entirely with your own tribe, you are likely to be killed or exiled from your own tribe. The diversity of coincident races today means that the cues distinguishing the races are drastically different, much more than subtly different. Not just drastically different skin color, but also drastically different dress, language, jewelry, and behavior. The innate behaviors that trigger the us-vs-them responses must be constantly held in check by the higher brain until habitualization. That is why expressions of racism are generally illegal in multiracial nations. Racial hatred would otherwise be largely spontaneous.Human races generally live together peacefully, including intimate relationships, social circles and workplaces. It's too much of a stretch to equate that high level of cooperation with the competition between subspecies of other animals.
Once you remove "differences in language, clothing, hairstyle, jewelry, and weapons", people are not averse to socialising with people from other races, and live together peacefully. Tribalism exists not just between groups of people of different races, but between groups of people of the same race. Therefore, human tribalism is comparable to competition between subspecies of other animals.
Even in America, uniquely absolutist in freedom of expression, the anti-racist cultural forces are exceptionally strong, for good reason. Think of the denomination of Christianity that is LEAST likely to experience racial tensions within its own membership. You may have thought of the Unitarian Universalist church. That is the church I would have thought of. Even the UU church has experienced a drastic racial divide. Blacks fled the UU church en masse, after such things as white UU members mistaking black UU members as parking attendants in a parking garage. It is a situation that the UU church is taking great pains in an attempt to repair, bending over backwards to attract black members back in their church, and it is an unlikely goal. The vast majority of churches in America are almost completely racially uniform. People are most comfortable around people of their own race, and, because of the first amendment, the state has no power to try to diversify churches. The white members of the UU church could easily independently choose to attend black churches every other Sunday, but they generally don't.
Racial tensions between blacks and whites in the US do not serve as evidence of innate animosity between human races; those tensions exists because Africans were originally brought to the US as slaves.