Since I have high blood pressure and take medication for it, the doctors tell me to keep my sodium intake below 2,000mg per day. This is often a challenge.
Far and away, most of the sodium you consume is in processed foods, dairy products, soda, etc. The salt shaker isn't even close to being the main culprit.
One thing I've also learned is this: sodium is sodium. Sea salt and Kosher salt will raise your blood pressure just as much as table salt. I love the fast food commercials that advertise the usage of sea salt as some kind of benefit.
The Mayo Clinic weighs in.