God the Father does not love me because of Jesus. He has loved His elect from before the foundation of the world; therefore, He chose them in Christ. He demonstrated that love by sending His Son to die for them when they were ungodly, without strength, sinful and enemies (Romans 5:6-11).
One of the more spiritually edifying questions that I remember debating with several brothers in seminary (and there were certainly plenty of spiritually unedifying ones!) was, "Does God the Father love us because of Jesus?" It might not seem like an obviously difficult question on the surface. The instinctive answer would seem to be, "Absolutely!" After all, when I think of my sin and what I deserve from the hand of the infinitely righteous and just God, how could He love me apart from a representative who is Himself perfectly holy and lovely?