Sorry for delay, the lovely people to contact to begin the Hungarian citizenship process is Hungarian Language Solutions. They are on Facebook, email info@..., or website www.hungariansolutions.com. They can help you with the whole process (appointments at consulate, forms, documents needed, and learning the language). As someone who did it mostly on my own, it was very time consuming and I was grateful to find Renata and her group for the final stretch. If you don't already speak Hungarian, it is deffo not an easy language, but it's not impossible. You will need to get as many certified copies as possible of the birth/marriage certificates for everyone in your Hungarian lineage that shows the line of descent from your grandparents or parents who were born in what was then Hungary down to yourself; afterwards, any of these not already in Hungarian need to be translated. But Renata can help you with everything and they have helped hundreds of us get our citizenship, which is so exciting.
As for the suggestion the Hungary will leave the EU, that us just scaremongering. The EU will just as likely collapse as that. I don't see why certain people always bring politics into the discussion and stir the pot.
Terrie