Interesting, because that is exactly what a couple of calvanists from my town told me....
Yes, we are puppets.
Yes, aborted babies not part of the elect burn in hell forever.
Yes, the old law is still in effect and stoning adulterers should be legal.
To #3, Yes, that's the impact of Reconstructionism and certain forms of hypercalvinism. But ... did ya know that a conservative reformed seminary has denied degrees and removed professors who persuaded students that the Mosaic Law is a political moral requirement?
Then again, don't all sins deserve death?
Of course in many views of Calvinism the old law is still in effect. "Do we then nullify the law by faith? No, indeed we establish the Law!" Rom 3:31. But it's a question of
how the Law is in effect, not
whether -- a question which is actually answered by many Reformed standards.
II. This law, after his fall, continued to be a perfect rule of righteousness; and, as such, was delivered by God upon Mount Sinai, in ten commandments, and written in two tables: the first four commandments containing our duty towards God; and the other six, our duty to man.
III. Besides this law, commonly called moral, God was pleased to give to the people of Israel, as a church under age, ceremonial laws, containing several typical ordinances, partly of worship, prefiguring Christ, His graces, actions, sufferings, and benefits; and partly, holding forth divers instructions of moral duties. All which ceremonial laws are now abrogated, under the New Testament.
IV. To them also, as a body politic, He gave sundry judicial laws, which expired together with the State of that people; not obliging under any now, further than the general equity thereof may require.
V. The moral law does forever bind all, as well justified persons as others, to the obedience thereof; and that, not only in regard of the matter contained in it, but also in respect of the authority of God the Creator, who gave it. Neither does Christ, in the Gospel, any way dissolve, but much strengthen this obligation. Westminster Confession Ch. 19
To #2, yes, anyone not part of the elect burns in hell forever. God chooses whom to give His Kingdom, there's no inherent claim on the Kingdom on the part of infants -- or anyone else for that matter except God Himself. On the other side of this if God wishes to draw infants into the Kingdom that's His choice. Scripture makes no comment at all about the reprobation of infants outside the covenant. God's not sayin' what He's doing.
It'd be unfortunate to reject a theology over something that may not even be an issue -- God may well select people out of this life in infancy specifically because He wants to spare them this life and give them the next.
Both views appear in Calvinism. To tar the theology with one or the other is attacking it on ... well, on no Scriptural grounds at all.
To #1, I always find it funny when people just cart this out as some kind of proof. Did you know that your finger is a puppet? It's got tendons stretching from the finger to a muscle. And that muscle, it has no mind of its own, but obeys the signals through little strings to your brain called nerves.
Us, we obey something called our "wills", which often seem to override our recognition of reality, even. We're puppets of our own wills. And even those wills, if they're under certain substances or pressured by certain techniques of manipulation, they can be compelled into action.
All this we agree on. Yet, "We're not puppets, we have free will." The issue is over what you mean. If you properly qualify what you mean by puppetry and freedom, I'm sure we can agree on what you mean to say. And at that point I'd agree that no, we're not puppets. We're actively, responsibly, and knowingly opposed to God. "I've no trouble admitting that a man has free will. It's just no help." Calvin quoting Augustine