The Messianic nature of the prophecy is perhaps most apparent in this verse, as it is clear that no historical kingdom has been able to qualify as one having no end to its increase. and no end to its peace. This is especially true if these conditions of the fulfillment of prophecy are attempted with any child born by the time Isaiah speaks the prophecy. The very conditions of the prophecy look ahead, not back.
These are apocalyptic conditions, not temporal possibilities. Likewise, the judgement that will flow from that kingdom is an eschatological judgement. There is no historical polity that could possibly be the fulfillment of the letter of this prophecy, and hardly even one that would approach it.