I have a history of heart disease in my family: dad, uncle, and their mother all had MI's. I can't do anything about that, but I've managed to limit the other risk factor (don't smoke, don't drink, healthier diet, stress management, weight control, exercise (obviously)). I get a check up every year: numbers are good (actually my PCP says my cholesterol ratio is as good as he's seen). No restrictions from the doc.
So, no. Despite the family history, I don't worry about it.