Not, if you want your 'children' to have the ability to choose! You know as a mother that you have had to stand back and allow your children to make decisions even bad ones.
God placed us under Adam's sin after the Fall so that we all could be savable based on what the 2nd Adam did (Rom.5). Now, it is up to man to make a decision. God had to allow freedom to run its course, even allowing the fall of both Satan and Adam if He (God) was going to have a real relationship with His rational creatures. No freedom, no Fall, no Freedom, no relationships. That was the dilemna that God faced! Look what it cost Him, His own death! See how seriously God takes His own desire to share His love with His creation. It is God who would not have gotten anything out of making robots out of mankind. Nor, does He develop a relationship by making anyone love Him. Would you want that type of relationship with your children?
Calvinism removes any semblence of the reality that it is God who wants to share Himself with His creation. Just look at the OT peace offerings. God wanted the Jews to come among Him and rejoice-freely, not out of compulsion (same as giving).
This Plan is about what God wants, not what man thinks He wants. The issue is not about sovereignty, but Love and how a perfect God can Love finite creatures who fail. That was the problem He faced. It was the Cross that resolved it by satisfying the demands of His Justice and now all can freely to Him, if they will.
God is always seeking man, it is man that is running from Him, like Adam did in the Garden. Yet, God came to Adam and gave Him the covering which Adam received (did Adam work for that covering, or did he claim merit for taking it?) No, Adam and Eve believed what God said about the coming Messiah (Gen.3:15) and by faith, took on the covering that another died to give them.
Do you see any works or merit in it? Did God force them to take the coats? You either see God as a real Person who desires to share Love or as some cold, distant King, whose only concern is about 'glory'. God will receive Glory because He has accomplished what He wanted a reconcilation with His creatures and creation. The 'similitude' mentioned in James 3:9 is the 'likeness' that God created us in Genesis. We did lose the 'Image' (spiritual life) but not the 'likeness' which is intellect, sensibilty and will, those were corrupted but not totally lost.
I'll take the Man I met, thank you. BTW, your Genesis 3:15 verse; so close to being right you were (Define received properly and you'd be there)....
P.S. Your statement about God's Glory shows that you know nothing about His Love or His Glory or our purpose.
Did God know that Adam was going to sin?