First: Your conclusion isn't logical. At best, from these statements, you can only conclude that God is either not omnipotent or God is not against evil. You cannot conclude his existance or non-existance from these statements.
Second: Your assumptions make presumptions about the nature of God that many such as myself would argue against. Why would an omipotent God be concerned with the human definitions of evil? You can't get humanity to agree on the definition of evil... therefore how can you make a statement regarding God's perspective of evil.