A true heart experience and sincere obedience does indeed emanate from true faith, but that experience is not the gospel that saves. Human experience pertains to one's doing or feeling. A love relationship with Christ, for instance, being an experience, pertains to law keeping. It is keeping the first and greatest commandment of the law. Loving one's neighbor is also law keeping.
Love is the fulfilling of the law.
Loving God and fellow men is not the gospel. But the demonstration of God's love for us is. This illustrates how works are the fruits of faith, and sanctification follows justification. It is misleading and confusing to say, as many do say, that the gospel is a love relation with Christ. In such statements are seeds of legalism.