If, as your post states, you're planning on shooting landscapes, then I would say neither of these lenses.
The TS-E is great for architecture, since you can use it to eliminate the "keystone" effect. If you're not shooting buildings, then why pay more for the Tilt/Shift and manual focus? And, as others have mentioned, you do need to use a tripod.
The 14mm is rectilinear (I have the original version), which makes it great for exaggerating/distorting perspective. The best use for this lens is to get up close to something, not for landscapes. The angle is so wide, things in the distance end up being very small.
Also, since both have a convex front lens, neither will take screw-on filters, which can come in very handy when shooting landscapes (especially ND and polarizers).
Therefore, IMO, the best choice for shooting landscapes would be the 16-35mm f/2.8L II. Check out other sites (fredmiranda, flickr, etc.) to see examples by other photographers. You could also rent (or at least try it out in the store) before buying.