I don't think people want the legislature to cede its power to the other branches, but I do think the other branches are easier to understand. When the President issues an executive order, or a court issues a ruling, there are one, three, or nine people. It conforms more to what people think of as "rulership," and it allows for "easy" "victories" that route around the long and clumsy process of legislation.
But you do point out a significant problem, regarding polarized constituents. More than just communication, it's usually the most polarized members of a party who take part in the primaries. This has the effect of dragging politics towards the extremes, rather than the center, and makes cooperation between parties essentially impossible.
Removing first past the post, through ranked choice or some other mathematically superior method of handling elections, would do a lot to correct that.