I appreciate Tree of Life setting out the historical context so clearly, but as for the argument...
"A virgin will conceive and bear the child Immanuel - God Is With Us (
Isaiah 7:14).
Before the child comes to maturity the Syro-Ephramite crisis will dissolve (
Isaiah 7:15-16)."
This certainly does not apply to Jesus.
"... And the child will be a Davidic king"
This certainly does not apply to Jesus. Even to try to stretch this point, it just doesn't apply in the given context of having to deal with the Assyrians.
"Matthew understands Jesus to be the fulfillment of this promise."
Tree of Life's own argument seems pretty close to asserting that Matthew was
legitimately mistaken about the prophecy.
Whether Matthew was sincere in taking the prophecy out of context does not affect whether it
is taken out of context, i.e. the topic of the debate.