If it were a state it couldn't be overcome. So there is a contradiction. Can someone overcome heterosexuality? They can deal with lust and not act on it, but they are still hetersexual. I just have an issue with your premise because I think it is an obstacle by providing an exuse. There is no exuse for our sin. Compassion must be pure to be of real value. A broken and contrite heart is the point where all sinners start to have hope. I think the state-of-being theory hinders that goal.
We are all born heterosexual. Biological fact.
Homosexuality is an abnormal state/condition of heterosexuality.
Feelings associated with an 'abnormal' state or condition very definitely can be overcome. All feelings are rooted in behavior and all behaviors can change with the desire to change. Alcoholics, drug addicts, gambling addicts, same sex attracted, beastail attracted, incetuous etc., etc. are all abnormal states/conditions. The abnormal feelings associated with them CAN be overcome with the desire to overcome them. Not easy though.
An understanding heart through the grace of God can overcome anything.