That, I think, is the main objection to Calvinism by those who don't adhere to it. It's the reason why opposition to Calvinism is strongly emotional, like the way you talked to your Calvinistic brother. You have probably noticed it in the responses posted on this forum. Even the OP, here, has a "book" that relies more heavily on feelings than cold logic, or scripture. This is not to say that people opposed to Calvinism are irrational or overly emotional, but that the opposition to Calvinism is viceral, because it regards the picture painted of God's character.
The picture that we have of God as our loving father is true for both sides of the argument. The only question is whether he is the loving father, also, of those who are outside of the faith and bound to perish. If he is, then he can't save them. If he isn't, then he won't save them.
The Calvinistic response is less emotional. I see verses, like Acts 13:48, and I don't see any other way to take it. In fact, after having read through the whole Bible, I came to the conclusion that the Calvinistic image painted of God's character is probably a lot more biblical than the alternative.
This is Acts 13:48
"And when the Gentiles heard this, they began rejoicing and glorifying the word of the Lord, and as many as were appointed to eternal life believed."
The wording, here, is very Calvinistic. In fact, I really see no way around it. With this in mind, I read Romans 9, and I see more Calvinism. Then, I think about the ancient nation of Israel that was given knowledge of God, while the rest of the world was left to perish in ignorance, and this also contributes to the same picture of a selective God. Do I like the picture painted? I have to admit that I found it disturbing at first, but it was not the teaching of Calvin that disturbed me. I have never read his works. I grew up in an anti-Calvinist church and an anti-Calvinist family, went to an anti-Calvinist school and had only anti-Calvinist acquaintances. In fact I had never met or talked to a Calvinist of any sort. Yet, by the time I graduated from high school my beliefs were very much in line with what is known as Calvinistic doctrine, because I had to make a decision to either accept or reject the image of God presented to me by the Bible, rather than the one taught to me in Sunday school.
I find it interesting that a book made me Calvinist, and the OP wishes to unmake that Calvinism with another book, but I don't think his book is going to win the argument against the much bigger and older work.