This is in reply to your 7/13 post what about them? in which you stated the following:

"The two parts that shall be cut off and die:"

"Zechariah 13:8 And it shall come to pass, that in all the land, saith the LORD, two parts therein shall be cut off and die; but the third shall be left therein.

  9 And I will bring the third part through the fire, and will refine them as silver is refined, and will try them as gold is tried: they shall call on my name, and I will hear them: I will say, It is my people: and they shall say, The LORD is my God."

"Will those of the two parts continue to reject Jesus, and instead, who;eheartedly follow after the antichrist?"

"Will they consider him as their messiah?"

"Will they worship him, and take his mark?"

I had never really thought about how the two thirds part of the people in Israel who are cut off and die in Zech. 13:8 in the above verse until you mentioned it. It could very well be that they worshipped the Antichrist, and their lives were spared during the Great Tribulation until the Lord Jesus Christ returns to Earth at His 2nd coming at which time He slays them with the sword coming out of His mouth that is the word of God at which time they will be cut off and die. Two thirds part would be equivalent to the fraction 2/3 when converted to a decimal is .666666666666 forever just like those converted to the Antichrist beast whose # is 666 will forever be separated from the Lord.