Upon rereading your question and to answer it more effectively, YES, we have the same abilities as Christ did to resist sin. For him to come to earth with "special powers" that we don't have, would not serve the purpose and would only serve to frustrate us weak humans even more :)
Yes, we have the same abilities as He did to resist. So YES, YES, YES, we can all resist sin by turning to the Father for help and guidance (remember Christ praying and fasting too?) But if we do get weak in the flesh, he is faithful and just to forgive.