The Bible is often wrong when an overly literal interpretation is used. For example we know that there was never a worldwide flood.
And when it comes to "the image of God" why assume that it is a physical image? You are limiting God quite a bit when you say he had to look like man.
Because He does look like a man. Specifically Jesus, and it is described that way in both the old and new testament.
Jesus referred to Himself most often as the Son of Man, He was referring to this from Daniel 7
13 I saw in the night visions, and, behold, one like the Son of man came with the clouds of heaven, and came to the Ancient of days, and they brought him near before him.
14 And there was given him dominion, and glory, and a kingdom, that all people, nations, and languages, should serve him: his dominion is an everlasting dominion, which shall not pass away, and his kingdom that which shall not be destroyed.
and when it comes to God the Father...
8 Philip saith unto him, Lord, show us the Father, and it sufficeth us.
9 Jesus saith unto him, Have I been so long time with you, and yet hast thou not known me, Philip? he that hath seen me hath seen the Father; and how sayest thou then, Show us the Father?
So, God created man in God the Father's image, and then God the Son was actually incarnated as a physical human being.
so, man is set apart from other animals. Man is the one specifically hand created, where the rest of animals there is flexibility. Man was also created full grown at first, Adam was not born, which is not compatible with an evolutionary origin. These kinds of details are NOT given for other animals.
So conflict between biblical account and science doesn't necessarily clash. It just takes understanding language differently, like the word kind.
and for plants specifically
Genesis 1
11 And God said, Let the earth bring forth grass, the herb yielding seed, and the fruit tree yielding fruit after his kind, whose seed is in itself, upon the earth: and it was so.
12 And the earth brought forth grass, and herb yielding seed after his kind, and the tree yielding fruit, whose seed was in itself, after his kind: and God saw that it was good.
You could say most closely that plants evolved somewhat on their own, just at the command of God, but manifesting as a natural process.
Man is also set apart in WHY he was created, to have dominion over the earth, set apart from other animals in knowing the difference between good and evil, which makes him capable of sin (other animals do things that might be considered sin, but, as some would term it "they don't know any better"), and having the incarnation of God, are the only species that can be redeemed from sin. Angels that sin? They're damned and have no way out of it.
To lump it in as just another animal? Contradicts very key doctrine within the bible, and becomes incompatible with a biblical world view and with following Jesus.