Just because fats don't have a direct affect on heart disease, it doesn't mean they shouldn't be worried about. Saturated fats and trans fats increase LDL cholesterol in the blood (1) creating a greater situation of LDL oxidation, which contributes to inflammation that is the cause of heart disease. A diet with a high ratio of omega-6 to omega-3 oils creates a proinflammatory state (2), which also enhances risk.
Through knowledge of fats and how they affect the body in different ratios, it is possible change course of health. Additional omega-3 fatty acids and lesser amounts of saturated fats, trans fats, and omega-6 fatty acids could largely benefit through reduction of LDL cholesterol in the blood, reduction of triglycerides and less inflammation.
References
1. http://www.mayoclinic.com/health/fat/NU00262
2. http://www.medscape.com/viewarticle/555736