Nonsense. He suspended Habeus Corpus in the areas under insurrection, which is constitutionally provided for "when in Cases of Rebellion or Invasion the public Safety may require it."
Again, this power falls to Congress, not the President. Congress can suspend the writ of habeas corpus, not the President.
http://www.presidency.ucsb.edu/executive_orders.php?year=1862 - 1863, et al.
Suspending those seven Amendments equates to suspending the Constitution. Unless, of course, you're a liberal statist in which case you think that there are no individual rights in the first place.