Which detail best supports the inference that during Lincolns lifetime he was not respected as President of the United States

The correct answer to this open question is the following.

Unfortunately, you did not attach the options for this question. We do not know what are the "details" to chose from. You did not include a text or an excerpt.

However, trying to help you we can comment on the following general terms.

Some people think that during Lincoln's lifetime he was not respected as President of the United States because the southern states decided to rebel and secede from the Union. These states did not obey President Lincoln's decision and seceded to form the Confederate States. We are referring to southern states such as South Carolina, Texas, Alameda, Mississippi, North Carolina, or Tennessee.

Another important detail is that after the Civil War, many radical Republicans in Congress did not support Lincoln's plan for Reconstruction in the South. These radical Republicans considered that the former Confederate states deserved a harsh punishment for the destruction caused during the Civil War.

the answer here would be

mustafa ataturk thought nationalism in turkey would best be achieved by modernizing the country.