"Jacob have I loved, Esau have I hated" is just one of many. One should be enough to show his love for the Elect is a particular love not shared by the forever lost, just as his love for Israel was the love for a chosen people, not the rest of the world.
You are correct; you must prove that God wants the salvation of everyone. You also must show what the word, "wants", means when applied to Almighty God, without anthropomorphism.
Perhaps it was not in response to you, but I have proved logically to many here, that the fact God is Absolutely Sovereign logically means that nothing can happen without his causing, and so if he wants something, it will indeed happen.
I also showed in response to every instance brought up to me, that "all" as quoted from Scripture, does not always mean absolutely everyone. For eg, in the one you seem to be working on today, "who wants all to be saved" (1 Tim 2:4), see vs 7, where Paul refers to himself as the apostle to the Gentiles, the word "all" can easily mean "all kinds of people." i.e. both Jew and Gentile --just as his promise to Abraham was to "all peoples". (Also, perhaps I should mention, in some places "all" means that if anyone is to be saved (or whatever each verse referenced is about) that there is only One --Christ-- through whom it can happen.) The mere fact that it CAN mean that in each instance, combined with the fact that all Scripture works together, and the fact that elsewhere Scripture both agrees that God shows particular love for some, and chooses only some for salvation, and denies that God saves absolutely all, proves that this verse indeed should be taken to mean that he "wants" all the Elect, admittedly perhaps without immediate reference to what he "wants" concerning the non-Elect --it doesn't mention that in that passage.
Remember also, again, you must prove within your proof the meaning of "wants" as it applies to God. God, by definition lacks nothing, needs nothing. Do a bit of etymology on the word, "wants".