Respect is an odd word. If I disagree with an idea strongly, I don't actually respect it, I despise it - but that doesn't mean I might not respect the person who holds it, or respect their right to hold it.
It's partly a matter of how strongly I disagree with the idea. There are Tories I respect (not Maggie Thatcher), and I'd respect their right to hold their views; but I feel a bit different about Nazis, or woman-haters.

When it comes to aesthetics, there's plenty of music I can't stand, and books I can't read but I'm willing to admit that the failing is very possibly in my inability to understand and appreciate them. And the same goes for lots of other things where I disagree, but aren't that confident that I'm wholly right.