No one can come to Jesus unless the Father draws them. It doesn't follow that the Father irresistably compels them to come to Jesus.
Again, I refer to the Lord Jesus Christ for the answer to this: John 6:37 "All that the Father gives Me will come to Me, and the one who comes to Me I will certainly not cast out. "
Clearly, again, the action is by the Father. The Lord Jesus Christ says "All", all that the Father gives to Christ "Will" come to Him. Not maybe, not if, the word is "Will".
Now, as for "Irrefutably compels", the Lord Jesus Christ uses the word "Draws" so I would say He "Irrefutably Draws" and believe He does this with His Irresistible Love. John 15:9 "Just as the Father has loved Me, I have also loved you; abide in My love." - the Lord Jesus Christ loves those the Father gives Him just as "the Father has loved Me". This is an Irresistible draw.
The problem for most folks is they have a negative view of God as a killjoy or capricious. But when you put these verses as frontlets before your eyes, great joy follows in the heart of a believer.