Temple Veil and White Clothing

When God re-established/renewed his covenant with Moses, God desired that all the Elders of Israel first purify themselves and then commune with Him in the mountain and not just Moses. God wanted a kingdom of priests and a holy nation. But the people feared and said: 

19 And they said unto Moses, Speak thou with us, and we will hear: but let not God speak with us, lest we die. (Old Testament, Exodus, Exodus 20)

When Moses returned the people were defiling themselves. And so God gave them a preparatory law.

When Jesus Christ completed the Atonement, the veil of the temple was rent making a partition in the veil. But the veil did NOT fall down but was parted.

Before in the OT temple only the high priest (representing Christ) dressed in white and entered the Holy of Holies. The other priests never wore white in the temple but robes of many colors. Now that Christ had parted the veil, all those who accept Christ and purify themselves though his blood and repentance can pass through the veil and into the presence of Heavenly Father. When John saw the Temple in the Last Days he was shocked to see all the saints in the Temple wearing white like the High Priest. John asked and spoke about it:

4 Thou hast a few names even in Sardis which have not defiled their garments; and they shall walk with me in white: for they are worthy. 
5 He that overcometh, the same shall be clothed in white raiment; and I will not blot out his name out of the book of life, but I will confess his name before my Father, and before his angels. (New Testament, Revelation, Revelation 3)

13 And one of the elders answered, saying unto me, What are these which are arrayed in white robes? and whence came they? 
14 And I said unto him, Sir, thou knowest. And he said to me, These are they which came out of great tribulation, and have washed their robes, and made them white in the blood of the Lamb. 
15 Therefore are they before the throne of God, and serve him day and night in his temple: and he that sitteth on the throne shall dwell among them. (New Testament, Revelation, Revelation 7)

8 And to her was granted that she should be arrayed in fine linen, clean and white: for the fine linen is the righteousness of saints. (New Testament, Revelation, Revelation 19)