Well, I hadn't expected that reply from a person of the Reformed persuasion. If it is true, that is good to hear, with the caveat that there is no repentance without grace from above. I imagine you'd agree, since you posted the pertinent Scriptures.
Regards
Every Christian (well almost) understand one must repent. What the scriptures tells us is that God must be the author of bringing us to repentance. The fact that all men do not come to repentance's is another indication that God does not bring all men to repentance.
As Augustine stated; "Command what you will, and grant what you command." God has commanded all men to repent. God must also grant men the ability to repent.
People fail to understand that it is God's will that drives everything. As James stated: