I do believe God is Love.Question is why?

Why didn't God destroy the devil when he sinned, and thus end the sin problem?
Because sin was something completely new in God's universe, and its inhabitants did not understand it. Probably even Lucifer himself did not fully comprehend it at first. Lucifer was a brilliant, highly respected angelic leader. His approach was doubtless one of great concern for heaven and the angels. It possibly ran something like this: "Heaven is good, but it would be improved with more angel input. Too much unchallenged authority (as the Father and Son have) tends to blind leaders to real life. Angels should not be required to take orders. We should give orders. God knows my suggestions are correct, and He is feeling threatened. We must not permit our noble leaders who are out of touch to jeopardize the very existence of heaven. They will listen if we move in unison. We must not be weak we must act. Otherwise, we will all be ruined by a government that doesn't appreciate us."

One-Third of the Angels Joined Lucifer
Lucifer's arguments convinced many angels, and one-third joined him. If God had destroyed Lucifer immediately, some angelic beings who did not fully understand God's character may have begun to worship God through fear, saying, "Lucifer may have been correct. Be careful. If you differ with God, He may kill you." So nothing would have been settled. Instead, the problem would have been heightened.

God Accepts Only Loving, Voluntary Service
The only service acceptable to God is cheerful, voluntary service prompted by love. Obedience for any other reason is unacceptable.

God Is Giving Satan Time to Demonstrate His Principles
Satan claimed he had a better plan for the government of the universe. God is giving him time to demonstrate its principles. The Lord will abolish sin only after every soul in the universe is convinced that Satan's government is unfair, hateful, ruthless, lying, and destructive.

The Universe Is Watching This World
The Bible says, "We are made a spectacle [margin says "theatre"] unto the world, and to angels, and to men." 1 Corinthians 4:9. The entire universe is watching as we each play a part in the controversy between Christ and Satan. As the controversy ends, every soul will fully understand the principles of both kingdoms and will have chosen to follow either Christ or Satan. Those who have chosen to ally with sin and Satan will be destroyed with him, and God's people will be taken to the eternal safety of their heavenly home.

In another thread, that sadly seems to have disappeared from Wazua, I asked "Who is God?". I think this is an important question to answer before participating in this discourse. I can, however, infer that you are referring to the God of the Bible.

Now, the God of the Bible has certain salient characteristics revealed in his Book. Among them are:

1) Omniscience - God is all knowing

2) Omnipotence - God is all powerful

3) Benevolence - God id good

Important philosophical questions arise from these qualities. I will mention a few.

Omniscience is, by definition, incompatible with freewill. If God knows what I will be doing this afternoon, surely I cannot possibly end up doing anything else for that would negate his omniscience. As such, I do not have choice and therefore cannot be held responsible for my actions.

Omnipotence has been shown to be a logically impossible attribute to possess. As Zeno once asked of the clergy: "Can God create a stone of any weight?", they said yes. "Can God lift a stone of any weight?", and they said yes. Then he asked, "Can God create a stone too heavy for him to lift?". The proof is in the answer to this last question.

Benevolence. If God is all good and all powerful, why is there any evil in the world? Surely, those two qualities are enough to prevent it from existing. And to think it annoys him when we sin.

What I am trying to say is that you cannot strengthen your faith by logic. You can only weaken it - or even discard it. To me, belief in God can be founded on anything else but good sense. And I think that is okay. There are far too many inconsistencies in the Bible to even begin to list here - although I could list a few if challenged to do so. There are also many passages that not only do they not contain any moral value, they appear to propagate the exact opposite.