Bai Keith, you really did some somersaults around that question. But the part that really got my attention is when you stated that God told Abraham that he, Abraham only loved Isaac. However, by the time you got to the end of your response you admitted that Abraham loved Ishmael too. So how come you know this but God didn't when He told Abraham that he, Abraham didn't love Ishmael.
For the record, the Bible stated that the family rift came about because Sarah became jealous of Hagar. Hard for Sarah to be jealous of Hagar if Abraham didn't think highly of Hagar. There is also a reference to her being upset with Ishmael. Here again it shows God's terrible judgment in blessing Sarah with the coveted covenant in-spite of her horrible disposition.
The reality is that the circumstances are not as described in the Bible. I doubt Abraham had both women living in the same space.
My brother where did I mention what was highlighted above? I have resented the Genesis 22:2 scripture in its entirety, what is your understanding of that same scripture?