Actually Leviticus 10: 8-11 would be more applicable: 8 And the LORD spake unto Aaron, saying,
9 Do not drink wine nor strong drink, thou, nor thy sons with thee, when ye go into the tabernacle of the congregation, lest ye die: it shall be a statute for ever throughout your generations: 10 And that ye may put difference between holy and unholy, and between unclean and clean; 11 And that ye may teach the children of Israel all the statutes which the LORD hath spoken unto them by the hand of Moses.
Are believers within a Royal Priesthood even better than the Levitical priesthood? Do believers enter into the sanctuary in Heaven when they pray, which is better than the tabernacle of the congregation? Do believers need to put a difference between holy and unholy and between clean and unclean?
Now regarding the first miracle of Christ, we need to understand that that wine was unfermented grape juice of a very special quality. And that the word "wine" in Scripture can apply to both unfermented grape juice as well as strong fermented alcoholic drinks (depending on context, and also the different Hebrew words used). The distinction is not found in the Greek.
We should also take note that regarding the Lord's Supper the Bible speaks of "the cup" rather than its contents. Since yeast and fermentation are equated with corruption and sin in the Bible, the bread and the wine were both without fermentation -- hence "unleavened bread" for the Passover as well as the Lord's Supper, and pure grape juice would represented the sinless blood of the Lamb.