It's not really about people's feelings. It's a fact that Obama is intellectually curious, more educated in the constitution, more experienced in government, more honest (by any fact checking metric), and on and on. Again, that doesn't mean he always makes the right decisions.
As for the protests, having participated in some, I think the demands are generally clear "cancel the muslim ban", "release your taxes", "dont take away our healthcare", "stand up for the rights of the disenfranchised". I'm sure you can find examples that are less focused but that doesn't prove anything. They aren't all going to be effective, but it's important to show that we're watching and listening and ready to mobilize.