so is this one of the reasons so many churches today embrace homosexuality and abortion? Can a Christian accept abortion and live a gay lifestyle but still feel confident in the no need to repent doctrine?
Absolutely. They have taken the doctrine that God does not see sin, but only sees righteousness in their account for an acquittal as meaning that repentance is unnecessary. There are other Christians who believe the false doctrine, but who are not so stupid as to live by it, because they really know that God is not blind to sin. You see, if one is not found guilty, then there is nothing to repent of.
Can a Christian accept abortion and live a gay lifestyle but still feel confident in the no need to repent doctrine?
They may feel confident, but if it is based on a false doctrine, then how reliable is it? This is the biblical basis for assurance:
KJV 1 John 2:3 And hereby we do know that we know him, if we keep his commandments. 4 He that saith, I know him, and keepeth not his commandments, is a liar, and the truth is not in him.