What would I change?
I would change the phrase "shall not be infringed" to "shall not be infringed upon by anybody, to include the highest office of government," write it in bold and all caps, and add it to the 1st, 4th, 5th, 6th, 7th, and especially the 9th and 10th. The amendments themselves are fine as they are (there are some I wouldn't mind doing away with, but I see no real need to), all that's needed is a reinforcement of "shall not be infringed." The only thing that should really be altered is change the 27th to requiring instead of preventing.
That should do it.
Oh, and repeal the 19th
Brownie points if you can understand this without looking up the amendments.