Doing this really got me wondering why Bethesda seems to think a longsword and axe are the same thing. One handed swords are made for point attacks generally. The Roman gladius was a point attack weapon. As a person that has actually won a trophy at a Division I collegiate fencing tournament (just blatant horn tooting) I know whereof I speak.
It would not be that hard to implement actually, if the default attack was a thrust you could even change the line of attack on each successive swing and cycle through about 4 different areas of attack then start over. The power attack would be a swing like it and the default attack is now.
Generally swords aren't good at hacking through armor, that is what the point is for, and then you can use hack on peasants in no armor.