I'm Going by what Jesus said in John 12 . That he will draw ALL men . I don't believe Jesus is competing with the Father on who draws . There is a change at the cross and subsequent resurrection. Jesus says He will draw All men . So we can be clear that as we don't have a verse for the Father drawing after . The burden is on you to show that The Father is still drawing as that is your claim . Also you say the Holy Spirit is 'drawing ' and yet we have no verse. So I would argue you have two things that are not based on scripture about who draws after the cross.
I agree that Jesus drew all men to Him at the cross. There is no disagreement there. The disagreement is that I said that the passage does not say that all that are drawn will come. I don't believe in universalism. SO the passage neither says all that will drawn in John 12 will come. SO what's your issue?