Where did you get that little piece of prophecy?
Wouldn't both factors have to be true to charm Israel into going along with the "peace" plan the anti-Christ is supposed to bring about impose?
That said, End-Time Prophecy (as we all know) is intentionally vague but will become quite clear when its time arrives (Daniel and Enoch both were told to lock up their prophecies until a later time). Also, whatever was said about Prophecy and the AC in the last century is most likely dated because of what happened on 9/11 and how the world has since changed.
Going forward...as you say, many who have interpreted Scripture seem to have concluded that Israel will be taken in by the AntiChrist, but what it actually says is that the AC will either make a covenent with Israel or simply honor one already in place, before breaking it in favor of Israel's enemies.
If we look at the events of the last two weeks, we see that Obama is in the very process breaking America's covenant with Israel. And those of us here on FR have no doubt that he will betray Israel in favor of her Islamic enemies.
Of course, perhaps Obama will initiate a new charm offensive and offer Israel a new covenant which she will accept...and he will break at a later date (I don't know).
See my post 88 for a additional comment on this subject.