Notice the suppositional "if"!! You are assuming that the Arminian position is the condition ("in the flesh" with the old heart) is the state being considered here and you have no evidence for that.
God does not lie, and He always keeps his promises. So, if God were to state, "IF you do X, then I will do Y," then you can take that promise to the bank. I think we would both agree on that point. However, where we disagree is regarding God sincerity or forthrightness in a statement like this. Because I believe, and common sense tell us, that the "responsibility" is strongly implied in a statement like this one.
A honest reasonable adult doesn't say to a cripple child, "IF you get up and walk, I will give you candy." Even a Warden, unless he was just cruel, wouldn't say to his prisoners, "If you can walk through your prison bars, I'll let you go free." The IF/THEN statement coming from an HONEST person carries weight and strong implications. I do not believe you have ANY clear and conclusive text to deny the strong implication of God's IF/THEN statement. To suggest otherwise paints God in a deceptive light, at best.
1. This verse does not prove WHICH heart believes the gospel. The "old" heart or the "new" heart that God gives (Ezek. 36:26; 2 Cor. 3:3). The old heart has no ability to preceive, see or hear spiritual things according to Deuteronomy 29:4 as that kind of heart must be given by God. The old heart is desperately wicked and is unnacceptable to God as God gives a NEW heart.
You like to quote some of the texts regarding the need of a new heart, but not others. Why not quote ones like:
Ezekiel 18:31:
Throw off all the transgressions you have committed, and make yourselves a new heart and a new spirit.
Or
James 4:10
Humble yourselves before the Lord, and He will exalt you.
Or
1 Peter 5:6:
Humble yourselves therefore under the mighty hand of God, so that He may exalt you in due time.
Again you like to quote some texts, and ignore the ones that clearly reveal the human responsibility in the process of gaining a new heart.