Why would they revive Hebrew? The whole romanticism and return to Zion was done later. While it may be called Zion, New Sion is not Zionist. I think that country would either speak Ladino, Yiddish, Spanish, English or French. Whichever of the languages it speaks, it will definitely borrow extremely huge amounts of vocabulary from Native languages.
Paper money already existed as a concept in Europe, but paper notes were not considered money. They were instead more like IOUs. The Europeans already knew foreign lands which adopted paper notes as legal tender (East Asia), but a Europeanish country using this method would probably make it more attractive. New Sion more or less assimilates the various tribes, which adopt many European customs and clothing as well as a form of Catholicism. The natives do keep some of their customs, but tribes, clans and ethnicities disappear during the time of slavery, making the Amerinds of New Sion a single ethnic group. The languages they speak survive in the large amounts of loanwords in Sionese. New Sion has no interest in protecting the tribes near the European colonies. Only the major tribes involved in the Mississippi Valley fur trade are of concern.
As for a strong foreign policy, Sion has no interest in Europe, except minimising damage to Jews. With almost no navy to speak of, New Sion is also unable to act in Europe. It is the most powerful polity in the Americas north/east of New Spain, but it does not have the inclination to seize vast amounts of territory which it can neither settle or prevent others from settling in. Yes, I haven't gotten that far, but New Sion would not be a major global player in the 17th century anyway.
ìtsanso, God In The Mountain, may our names inspire the deepest feelings of fear in urkos and all his ilk, for we have saved another man from his lies! I welcome back to the feast hall kal, who will never gamble again! May the eleven gods bless him!