You wrote:
“Yes, but evangelicals believe Catholics can also be saved - by switching to the evangelical practice of the faith.”
And there we go with the arrogance and presumption.
“Do Catholics believe that evangelicals (who are surely as earnest in their faith in Christ’s salvation as any other denomination) will go to heaven without switching to Catholicism?”
This is possible.
“Or are both sides pretty much the same in how they regard each other?”
They are not.