General questions about the Christian idea of God and love

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1. What do Christians mean by God's love or God is love?

One attribute of the nature and character of God is love.

2. Is God's love conceived as conditional or unconditional?

Unconditional (defined as unmerited)

3. If it is unconditional, how can one ever divorce themselves from it?

One couldn't.

4. Does God continue to love those whom he has reserved hell for?

I don't know for sure. To the best of my knowledge I would answer no He doesn't (although I do so under the protest of the phrasing of the question having included the word 'continue').

To address the assumptions in your question: How do you know that God loves those who's end is hell (so as to 'continue' to love them)? How do you know that God 'reserves' people for hell?

5. If God is omnipresent, in what sense is it logical to speak of the absence of his presence in hell?

If God is omnipresent it would be illogical to speak of hell as a place where His presence is absent.

I don't make the assertion that hell is a place where God's presence is absent, but let me offer some logical possibilities. First, presence can be defined as influence. In this case, while God's presence (being) is there, His presence (influence) is not. Another option is that if God removed the knowledge of His presence [if He hid himself] from the damned soul, God could both be present while the soul experienced the absence of His presence. To speak of hell as a place where His presence is absent would then be a matter of perspective, namely the damned soul's.

6. If God is immutable, how can any love he possesses for us ever change into wrath?

God does not change, our legal standing before Him does. While legally in debt to Him we are objects of wrath, but having been justified we are objects of mercy.

7. If you have/had a child who disowned you as a parent, and you therefore reacted by revoking any extension of love you possessed for them, in what sense could your love be considered unconditional?

If my choice to love or not to love someone is based upon what he/she has done, then my love is not unconditional.
If my choice to love or not to love someone is based upon my choice, then my love can be unconditional.

8. If God's love is conditioned on our actions or beliefs about him, is it fair to say that God's love is inferior to the love that many human parents do in fact possess for their children?

If God's love is conditional and human parents love is unconditional and we assume that unconditional love is superior to conditional love, then the answer to your question is yes.

On the other hand, no human, whether loving conditionally or unconditionally can do so perfectly. God can love, whether conditionally or unconditionally, perfectly. And so from the perspective of execution, God's love would be superior to a parents love.