Although I have a lot of beliefs in common I don't consider myself part of the reformed theology.  I do believe in Irresistible Grace because I believe in the absolute sovereignty of God.  I can't deny this absolute sovereignty that is spoken of throughout scripture.  I explain it to myself this way (although I admit that I likely don't have perfect understanding.  As the creature, we shouldn't expect to fully understand the Creator.)  Due to the sin of Adam and Eve, we have a sin nature.  That nature causes everyone to reject God.  If we could have true, complete faith we would be accepted by Him, but our sin nature makes this impossible.  When God "calls" or "elects" a person, He unchains them from their sin nature.  Once we are freed from our sin nature, there is no other choice, but to repent and trust Him as Savior because our nature and His nature make it so. 

I'll admit I am still trying to fully understand His sovereignty and our choice. 

 Why would we think that, unchained from sin nature, there is no other choice but to accept God?  Adam and Eve did not have a sin nature, but they still freely rejected God.  If Christ's redemption redeems and elevates our nature by union with Christ, then would not that raise us to the freedom to love God as Jesus loves God the Father?  It would seem to me that, for this love to be freely given, the possibility must exist that this love may be freely refused, as well. 

 Sorry, I didn't respond right away.  This wasn't an easy, whip up a quick response, kind of answer and I went out of town for my son's birthday trip to a theme park/water park and an eye appointment and when I got back, I was doing VBS (vacation bible school) with our church.  This was the first chance to try to give a proper response.  I actually decided to do a long form post.  I'll tag you on the post.