How do the people in Maycomb view the Finch family?

The people of Maycomb are divided in their opinion of the Finch family. Although they see the family as respectable members of their community, they resent what they consider Atticus' misplaced social justice inclinations.
In the story, the Finch family has its detractors as well as its supporters. For example, Aunt Alexandra disapproves of the way Atticus is raising Scout. For her part, Aunt Alexandra thinks that Calpurnia is a poor influence on Scout. Aunt Alexandra's reservations about Calpurnia results from preconceived notions about an African-American housekeeper playing a major role in raising a Caucasian child. In the story, Aunt Alexandra tries to get Atticus to release Calpurnia from her duties at the Finch household. She is unsuccessful, however, which leads others in Maycomb to conclude that Atticus has misplaced tendencies that threaten the very fabric of their society.
Of course, they are wrong. However, the men who gather to lynch Tom Robinson appear to agree with this estimation of Atticus. They believe that Atticus has failed to conform to expected Southern conventions, and they may have also felt that Atticus has betrayed his own race. By extension, Scout and Jem must endure the same suspicions and undue scrutiny as Atticus.
Fortunately, Atticus and his little family also have some staunch supporters. One of them is Miss Maudie. In the "mad dog" episode, Atticus is called on to use his marksmanship skills to save the town. For his part, Atticus obliges, and Miss Maudie's comments show her admiration for him:

"Miss Maudie grinned wickedly. 'Well now, Miss Jean Louise,' she said, 'still think your father can’t do anything? Still ashamed of him?' 'Nome,' I said meekly. 'Forgot to tell you the other day that besides playing the Jew’s Harp, Atticus Finch was the deadest shot in Maycomb County in his time.'
'Maybe I can tell you,” said Miss Maudie. 'If your father’s anything, he’s civilized in his heart.'"

And it is Atticus' "civilized" heart that compels him to try to save a black man from an unjust conviction. So, the people of Maycomb have varied views of the Finch family, and this can be seen in how they judge his actions in the Tom Robinson case.

The citizens of Maycomb have mixed feelings regarding the Finch family. The majority of citizens enjoy Jem, Scout, and Atticus and appreciate everything Atticus does for the community, which is evident in the fact that they unanimously re-elect him to the state legislature. Atticus is also respected throughout Maycomb's community, and he gets along with nearly everyone in town. But despite Atticus and his family's popularity and admiration, the majority of citizens disagree with his decision to defend Tom Robinson. In the racist town of Maycomb, the white citizens are upset that Atticus is standing up for a black man in court. Numerous citizens make derogatory remarks about Atticus defending Tom Robinson, and even his own family disagrees with his decision. Both Cecil Jacobs and Mrs. Dubose refer to Atticus as a "nigger lover," and Mrs. Merriweather indirectly criticizes Atticus during Aunt Alexandra's missionary circle. Overall, the citizens of Maycomb respect and value the Finch family but have dramatically different ideologies regarding race and justice.