Hey,
As far as I am aware there is a tiny amount of alcohol in non-alcoholic beer and wine as they cannot extract it all. If you are following the abstinent method then you should avoid non-alcoholic beer and wine.
And, as mentioned by another poster, the whole point of these drinks is to mimic the taste of the real stuff. Which alcoholic out there was drinking for the taste when they were in active addiction? Do you miss the taste or is it the effect?
If you really feel you need to drink this stuff, then what you are feeling is the need for alcohol.
Peace