GLBT people are absolutley loved by God but they too often mistake the word "love" for the word "permission" (as we do we all).
What does it mean to "hate the sin"? As applied to homosexuals particularly, how do you hate the sin without at least some rejection of the sinner? Does "hate the sin but love the sinner" really mean "love the sin and be indifferent to the fate of the sinner"?
If loving the sinner means keeping your lips zipped about his evil ways then why do we condemn other evil deeds, and how do we preach repentance if we can't mention specific sins? How do we raise children in the way they should go if we cannot comdemn their sinful ways? How do we seek God's righteousness if it is bad to acknowledge wrongs? How do we set any standards at all, moral or otherwise?
Should we love child molesters? Rapists? Any sinner, or just some sinners?
I do not think love and truth are at odds in God's eyes. Only to humans are they often incompatible. God is love. God is truth. And God is holy. These things in their true forms are not at odds with each other. Condoning evil is injustice, and that is not loving to anyone.