MDG- You wrote “I looked at his (really their – including Rabbi Abadi’s sons) web site and found a “teshuva” where he (not sure which one) said that since wine is all processed by machines, then there is no need for “kosher” wines. That answer was dated 2002. I asked a friend of mine about it. This friend is a ger whose family makes non-kosher wines. He told me that they indeed handle the wine, test it, etc. I went back to the web site for further research and found a retraction of that teshuva dated 2003.”
As someone who has known Rav Abadi for many years, I’d be very surprised to know that he ever mattered all wines. I’ve personally asked him staam yainum shaalos and he has never just said o all wines are fine. It is possible that the website, which belongs to his sons, made an error. This has happened in the past (see oats on pesach, bugs in water, tehillim for choleh), but i would be shocked if Rav Abadi ever held that way personally. You may be confusing his wine psak with his grape juice psak.
Also, Rav Abadi lived in Israel for many years, but has since moved back to lakewood.