Ah, yes...ομοιωματι again, like yesterday. Bet I know why you're asking this question, eh?
The word is again imprecise, but the quote supports the idea that Christ was enfleshed in the same humanity that we share with Him. The 'likeness' phrase does not have the same meaning nowadays as it did then--in the past the word was used to mean 'exactly the same', while now 'likeness' implies that something is close to the same, but not quite the same.
As St John Chrysostom wrote in his Homily 13 on this epistle:
"... Now if he says that it was 'in the likeness of the flesh of sin' that He sent His Son, do not think that His flesh was a different kind...For Christ had no sinful flesh, but indeed like to our own sinful one, but sinless, and in nature the same with us".
So, again this points out the teaching of the Church that your heretical opponent is trying to deny:
1. Christ shares the same flesh as we do.
2. Through His Life, Death, and Resurrection that which He assumed can be deified.
3. Those who will be deified shall have thier human nature (i.e., their flesh) deified as well.