You're not supposed to respect everybody - respect is a ranking of people on some scale, and respecting everyone equally means disrespecting those who deserve respect.

For example, many people are great or okay at their professions - but not all of them. There are respectable and respected doctors, and there are those that just have a degree and a practice.

Quite a few people have made unacceptable moral choices in politics, business or personal issues - and it's okay to disrespect them because of that, and publicly despise and shame those choices, no matter how it hurts their feelings and dignity. Respect honors people by drawing a line, by distinguishing them from the others you don't respect.