The trouble with language is words summarise ideas but are just labels.
Sins are actions. But before the actions comes the intent. Sin pollutes and destroys, so a person becomes a sinner. So because of sin, the sinner is rejected. So I could say Jesus became the act of rebellion, to remove the debt, to swallow up the effect on the sinner, to make them the redeemed.
To then call sin a force, is to corrupt the intent. Once you use this language, the sinner once has the force removed, they are now perfect, but this is obviously not true or even hopeful. If Jesus became sin, literally universally, then no one is a sinner anymore because sin has been dealt with, but this is clearly not the case, we still sin.
Jesus became the debt for sin we have. I would put it in these terms. Jesus became Gods righteous position about our rebellion. He took the worst man could throw at him and forgave them. This was God saying, this is my nature, I see your blindness, your evil, your hatred and I forgive you if you walk in my ways, if you know my heart, if you accept my Holy Spirit, if you believe in who I am. But you have to believe in me, my actions, my words, I will forgive you.
In a sense Jesus became the victim of all those actions we have done, and said I forgive you, if you see who I am, you will be healed, just like the brass snake lifted up in the desert. The power of sin is our belief God does not love us, we have to snatch all we can when we can. The world changes if you see God does love, literally, and desires to change your heart, to give you new birth, to teach you a new way.
This concept is so difficult to get across, a sacrifice of blood pays for the sinful action to bring things right again. It is so much more than a legal balancing act, it is the blazing light of love in action.