doubt SC B 9

A recent poll indicates that many people in the United States hold a combination of conservative and liberal political views; i.e., they denounce big government, saying government is doing too much and has become too powerful, while at the same time supporting many specific government programs for health car, education, and environment.
A. they denounce big government, saying government is doing too much and has become too powerful, while at the same time supporting
B. they denounce big government—they say that government is doing too much and has become too powerful—but supporting at the same time
C. they denounce big government, they say that government is doing too much and it has become too powerful, while they support at the same time
D. while they denounce big government, saying that government is doing too much and has become too powerful, at the same time supporting
E. while they are denouncing big government—they say that government is doing too much and it has become too powerful—supporting at the same time


my concern: in option A will "COMMA+WHILE+VERBING" (a verbless clause) not take "big government" as its subject? After all "big government" is the preceding subject