RASMUSSEN: 53% Now Trust Republicans More Than Democrats on Health Care. “Following the passage of the health care bill, 53% now say they trust Republicans on the issue of health care. Thirty-seven percent (37%) place their trust in Democrats. A month earlier, the two parties were essentially even on the health care issue.” So, when I predicted a “bounce” after ObamaCare passed I was right — I was just wrong as to who would get the bounce!