Nope, that is a strut brace you are talking about.. nice thing to have on ANY MacPherson Strut vehicle.. really helps to solid it up.
What we are talking about here, is a metal bar, running from side to side, UNDER the vehicle, in this case, it is a FRONT sway bar. and it attaches with linkage, to each A arm. It keeps the vehicle more flat in turns, it doesn't allow full articulation of the front suspension. They are usually fairly important on road vehicles, but not actually needed. I don't like the feel of a road vehicle without a sway bar.. but it's personal preference, especially with stiffer suspension like some of us run (either through coil spacers, or different coils) and the truth is, they aren't SWAY BARS, they are ANTI-SWAY BARS... lol...