In my view, the real problem with the H1-B program stems from the sponsorship system which ties each employee to a particular company and role. Unable to leave their position without threatening their residency, they are more willing to demand abuse (e.g., long working hours, poor leadership, subpar compensation) than the labor market requires.
An improvement to the program would make it easier for people to change job. Perhaps the government could permit highly skilled individuals to qualify personally for the visa so long as they sustain employment in their field.