A few points.
1. TULIP is not "Calvinism." Paradoxically as may seem, Jean Cauvin never heard of any TULIP. It was constructed by some "Reformed" theologians, mostly Dutch, when the good doctor from Geneva was already dead and buried. I am not sure how he would react if he read about the TULIP. A friend of mine who is a minister in the Presbyterian Church (USA), who knows the "Institutions" inside out, says that Calvin would never put his signature under any of the TULIP's five lines.
2. Neither Calvin, nor "Calvinists," as far as I understand, teach that God is the "author of punishments" etc. Calvin built his entire system on the basis of the profound mystery of God's sovereinty over His creation. In Calvin's mind (and he was not original here, drawing extensively from St. Augustine), God allowed humans to lapse and thus to lose their free will
. But this was done for a purpose (as they say, "does it occur to you that nothing 'occurs' to God?). This purpose was to redeem the "elect" by pouring on them His grace. With His grace, the "elect" re-acquire their free will and choose good. Those whom God did not pre-destine as His "elect" (the "reprobates") remain without His grace. Does it mean that God pre-destined them to hell, to the eternal punishment? Calvin very emphatically said, NO
. No one except God knows what will happen to the reprobate. All we know is that each and every one of us is as guilty and deserving punishment as the next guy/gal. But, said Calvin, when we are baptized and when we at some important moment suddenly KNOW that we BELIEVE ("regeneration"), we begin to feel, experience this undescribable bliss of God's grace. And then, we begin to walk down the road of "sanctification" (the Orthodox call it "theosis"). Except for the basic premise that our relationship with God is judicial
, i.e. that we are "guilty" and He is the Judge in front of Whom we must be somehow "justified," I don't see MUCH of a difference with our own Orthodox soteriology. The principal difference is that we look at fallen human beings as "patients," individuals who are ILL
, rather than as criminals who ought to be punished if not "justified." But is the Calvinist "judicial" view a heresy? To what statement in the Nicene-Constantinople Creed does it contradict?
3. In what way are Episcopalians "Calvinists?" AFAIK, they are an extremely diverse and pluralistic religious community. Some of them believe in the Real Presence of Christ in the Eucharist, some do not. Some of them believe in ordination of women and gay marriage, others do not. It's not like Baptists who will always answer "yes" if you ask them, are they saved. I am not a member of the Episcopal Church of of the Anglican Communion, but I know a number of very faithful Episcopalians who, just like us Orthodox, absolutely believe in "works." If His Eminence Bp. +JONAH spoke to them, they would most definitely say, "but of course!"