The alcohol won't kill the nutrients contained in the juice, as such; however, the effects of the alcohol will negate some of the health benefits of drinking the juice, and can slow the absorption of the nutrients it contains. Without knowing the alcohol to juice ratio, it's hard to say what extent it would affect you.
Alcohol Slows Nutrient Absorption
Drinking alcohol can interefere with your body's natural ability to absorb nutrients, and so it's likely that you won't benefit from the nutrients in the juice so much if you mix it with alcohol.
Alcohol Has a Negative Effect on the Vitamins Already in Your Body
Drinking alcohol can interfere with and inhibit the absorption of B-Vitamins, fat soluble vitamins (A, D, and E), Calcium, and Zinc. It can also deplete the supplies already in your system (in particular, those in the liver).
Are There Any Positive Effects?
Recent studies have shown that combining strawberries and alcohol can increase the antioxidant properties of the fruit. Antioxidants are important, as they can protect against heart disease and cancers, but the negative health effects will still outweigh the positive .
Get Your Nutrients Elsewhere
Taking multivitamins can help to counteract some of the damage done by drinking alcohol, but it's still important to keep an eye on how much you drink. Alcohol can often make you dehydrated, so it's very important to drink a lot of water when you get in after a night out.