I am trying to reconcile Paul Helm's article and the WCF. Would I be correct in stating that the change in a person's inner character and everything that flows from that change is not a part of his justification before God?

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The Call that Brings a Response by Paul Helm Hence, in the conversion of a person through the proclamation of the Christian good news, there is a two-fold call. There is the general call of the gospel through preaching and there is the particular, effective call of God working a change in a person’s inner character to make him appreciative of the gospel and responsive to it.

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Westminster ConfessionThose whom God effectually calls, He also freely justifies;[1] not by infusing righteousness into them, but by pardoning their sins, and by accounting and accepting their persons as righteous; not for any thing wrought in them, or done by them, but for Christ's sake alone; nor by imputing faith itself, the act of believing, or any other evangelical obedience to them, as their righteousness; but by imputing the obedience and satisfaction of Christ unto them,[2] they receiving and resting on Him and His righteousness by faith; which faith they have not of themselves, it is the gift of God.