Scripture directly refutes this.
Acts 2:38 —> "Then Peter said unto them, 'Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost.'"
Acts 22:16 —> “And now why do you wait? Rise and be baptized and wash away your sins, calling on his name.”
Here is St. Peter stating baptism is salvific and, contrary to what you posted above, does not remove dead skin or dirt from the flesh:
1 Peter 3:20 —> “Baptism, which corresponds to this, now saves you, not as a removal of dirt from the body but as an appeal to God for a good conscience, through the resurrection of Jesus Christ”
Your rejection of baptism aside, this latest statement is more troubling. For if Jesus did not have our exact human nature (which you label as "sin nature"), then whatever nature He had is what He redeemed. That means you and I and all other sons of Adam who have a "sin nature" are still not redeemed.
"And since these children have a common inheritance of flesh and blood, he too shared that inheritance with them." (Heb 2:14)
Don't be silly- I'm a BAPTIST.
However, baptism is SYMBOLIC. If baptism washes away sin, why call on Jesus?
Jesus saved the repentant thief on the cross who couldn't possibly be baptized. But I believe every new Christian SHOULD be baptized ASAP. However, it isn't always possible to baptize people at the time of salvation or even months later in places like Barrow, AK if their church doesn't have a natatorium.
However, if a new Christian dies before being baptized, he/she's still saved.
Baptizing an unsaved person produces only a wet sinner, same as baptizing a baby produces only a wet baby.