I made the comment that Lutherans in some sense agree that there is such a thing as "irresistible grace." What I mean by this is that election will result in one's actual salvation. Thus in some sense, God will "irresistibly" save his elect. This is a poor term to use because of its Calvinistic connotations, meaning that saving grace is given only for the elect. Someone challenged me on this stating that my words, "God will infallibly convert and preserve His elect in the faith" were Calvinistic. I put together some quotes from the Confessions and American theologians to show that election is particular, immutable, and cannot be lost.
SD Article XI. 8. "God's eternal election does not just foresee and foreknow the salvation of the elect. From God's gracious will and pleasure in Christ Jesus, election is a cause that gains, works, helps, and promotes our salvation and what belongs to it. Our salvation is so founded on it that "the gates of hell shall not prevail against it" (Matthew 16:18), as is written in John 10:28, "no one will snatch [My sheep] out of my hand." And again, "and as many as were appointed unto eternal life believed" (Acts 13:48)
SD Article XI. 22. "Finally, He will eternally save and glorify in life those whom He has elected, called, and justified."
Early Missouri and Wisconsin synod theologians were very clear on this as well:
Pieper, Christian Dogmatics Vol. III pg. 479, "The elect are only those actually saved, for Scripture teaches that without fail all elect enter eternal life."
Hoenecke, Evangelical Lutheran Dogmatics Vol. III pg. 52, "The immutability of election has clear proof in Matthew 25:34, 24:24; John 10:28, Daniel 12:2; and Romans 8:29,30. Our Confession expresses the Scripture doctrine very clearly and plainly. And when our confession says that God 'ordained it [salvation] in his eternal purpose, which cannot fall or be overthrown,' then it is asserted very definitely and clearly that no elect person finally remains in impenitence and unbelief and thus is lost."
None of this is to say that God does not truly give grace and offer salvation universally. However, God has not elected all men unto salvation. As Walther even says, "He gives everybody enough grace to enable him to be saved, but he does not give everybody the same amount." God's grace alone the cause of man's election. In The Theology of American Lutheranism pg. 178
Some try to say that because grace is given to all men through the gospel, whoever resists God's grace less than the other would then be saved. Walther replies to this idea, "If my non-resistance were the real and ultimate ground, then I would be my only savior." ibid. 188
The Lutheran Confessions, and the Confessional theologians during the American predestinarian controversy agreed that election is infallible, thus irresistible. An elect man cannot simply choose to be non elect.