What excactly does that mean?
Christ was perfect. The “human side” makes it sound as if you are saying he was flawed.
The point of Luke 22:42 is obvious. Christ and God are two separate beings. Thus he prays to his Father, not himself. Additionally, he is obedient. He would like not to partake of the bitter cup. However, he submits his will to the will of the Father.
Saying Christ was human is saying that Christ was human. Human feelings, human needs. See Christ at the well with the Samaritan woman. He was tired.
You say “Christ and God are two separate beings. “
But the Christ says:
John 10:30 “I and my Father are one.”
I’ll take Christ’s word for it. Will you?
Christ was sinless. He was also human. To the extent that things like becoming tired (see the story of the Samaritan woman at the well in John 3), to the extent that becoming tired is "imperfect," Christ was imperfect while in human form. He could have without even a snap of his fingers refreshed himself, except that to become man was his plan of salvation, not any other. I personally only view violating the will of God as "imperfect" in this sense. Sin.
So, I think the common view of Luke 22:42, take this cup from me if it be your will, paraphrased, is that the human side of Christ wishes not to feel the pain of torture and death at the hands of men and whatever impossible agony it is to have the sins of all men in his plan of salvation placed upon him and to recieve the punishment for them. Christ died for our sin, sinless himself. He allowed himself to be placed on the cross. He felt agony (which is not "perfect" in some superhero sense but is "perfect" within God's plan of salvation). He cried out in agony on the cross as well. To recieve salvation from Christ all you have to do is accept this sacrifice on your behalf and believe on Christ. He rose from the dead to give us witness and testimony that he was the messiah. Accept it and live. Nothing else is needed.