Folks... I of course have a horse in this race (I am a EZE based Fine Wine Merchant), but let me reflect my experiences here for the benefit of those that travel with wine - no matter where you buy it.

Global Entry or not... please always declare every single bottle you have to Uncle Sam's Customs boys & girls. In 98% of the instances, you will be waived through... for the rest, even if you have some agent that is picky enough to want to charge you tax, the amount will make you smile and/or laugh. For additional comfort, I have had a money back guarantee for US Taxes for the past 6 years, and have been called upon to honor it in exactly 3 (three) instances, and please note that not one week goes by without me preparing a package of wine that enters the USA.

Relax and bring back wine... just declare it (Global Entry or otherwise) and you will be fine..... ^