The next step will be attempting to convince the other species that such mating isn't always wrong, and there will be a deer and monkey pair (like those weird Japanese monkeys do).
the trivia about neanderthals seem a bit dodgy at best (about the blood found etc...) so take it with a grain of salt...
Edit: I found actual evidence that some is wrong - the trivia about neanderthal's not treating their wounded cause of the lack of big frontal lobes is wrong see here - http://www.dailymail.co.uk/sciencetech/article-5497485/Neanderthals-genuinely-caring-injured-friends.html
Edit 2: also finding blood is completely bs, most of the DNA scientists have gathered has been extracted from bones not blood
It's a comedy manga, not Discovery channel.
Don't get uppity about a comedy manga not being spot on when not even the scientists can agree on one thing.
The MC is excessively whiny which gets old very quickly. I've heard the argument he's a tsundere which, conceptually, is all fine and good. Sadly, in execution he comes across as annoying for the most part. There doesn't seem to be lots of character development from him (From what I've seen so far. I'm slightly behind.). This isn't a big deal as I still enjoy the manga, but it definitely wore thin on me very quickly.