you are not dealing with the OP
Respectfully, I am dealing directly with the OP.
From my perspective, you are defining the Gospel by man's will, and I am defining the Gospel by God's will.
Instead of basing the whosoever believeth on God's gracious work of the Holy Spirit upon rebellious sinners because of His mercy and grace, you appear to be basing His work of election on a potential, with God then electing based on our choice.
To me, your use of the passage in question makes God's choice of the sinner to salvation dependent upon His desire to save all men...
Which Romans 9 proves otherwise.
Ignoring Romans 8, Romans 9, Romans 10, Romans 11, Ephesians 1, Ephesians 2, 2 Thessalonians 2, 1 Peter 1, and many other truths does not mean they have any less weight.
Therefore, I encourage you to carefully evaluate 1 Timothy 2:3-6 in the light of passages such as John 6:37-47, John 6:64-65, John 8:43-47, John 10:26-29, John 17:2-3, Revelation 5:9, Revelation 7:9, 1 Corinthians 1:18-31, 1 Corinthians 2:6-16 and Psalms 65:4 to name a few.
Therefore, I recommend that the text should be looked at with election in mind, and not election being looked at with just that set of verses in mind.