Very good answer (and another good question).
I think everything you mentioned in your OP as 'intelligence' has been demonstrated in great apes so I don't have any particular problem with those things having evolved.
Yes, the capacity of gorillas and apes, not to mention animals less closely related to us, to grasp language, reasoning, etc. has been well established.
Of course, I do believe that there is a component to us that is unique to humans -- a vague concept of "eternal soul." I don't personally think it was evolved, but then again, there's nothing in the Bible that says God will not (nor even has not) bestowed such a soul on some other creatures.
Actually, I find it rather strange that many modern Christians assume that only humans are endowed with soul. Aquinas (following Aristotle) attributes soul to all living things. "Soul" is almost identical to "life". It is what animates a body and makes it alive. ("anima" is Latin for "soul").
But both Aristotle and Aquinas also distinguished different kinds of soul. Plants, it was said, had only vegetative soul--soul that permits life and growth and not much else. The soul of animals includes all the qualities of vegetative soul but also qualities of awareness, curiosity and initiative that do not exist in plants. The human soul is unique in including all that is true of vegetative and animal souls and also those aspects of rational logic, self-awareness, consciousness and moral agency that are unique to humanity.
Of course, these philosophers never speculated on evolutionary relationships between these different sorts of souls. That is an interesting question and I haven't sorted out what to think along those lines.
It's clear that we are special and given special loving relationships with God and I don't believe that has evolved. However I don't think the Bible excludes the possibility of other organisms being given a similar relationship.
I think we too often fall into the error of supposing that God's purpose is to save humanity from sin. Important as that is, scripture suggests it is part of a larger purpose: to save the whole world from the consequences of sin. Given the relationship God established between humanity and the rest of creation, the whole of creation suffers from human sin, and can be saved as humanity is redeemed. So Paul speaks of all creation groaning in anticipation to see the birth of the sons of God. But I do not see us being saved out of the world or apart from the world. God's original purpose in creating will be fulfilled and all the material, vegetative, and animal creation will have its part in the new world right along with us humans.