Although a go-around/missed approach may seem scary as a pax I can tell you that it's one of the items most frequently practiced in the simulator and is also one of the possible situations that is most thoroughly discussed in the preparation to land.

Additionally, we might be aware for several minutes that a go-around might be required and therefore be ready for it. For example the 757 crew in the video would have been aware of the wind conditions and absolutely would have discussed acceptable tolerances to continue and would have reviewed the go-around procedure. Sometimes, if the sitution is spacing with another aircraft the controller will even give a heads-up saying, "Be ready for a possible go-around," so we continue the approach, if the spacing works out we land and otherwise we go-around.

If, OTOH, the wheels actually touched the runway during this you would know that you'd been through something special. A go-around can be safely done so close to the runway that the wheels briefly touch while the engines spool-up. Although this is also practiced, to do one for real is very rare. It's still a safe manouever though and should be no cause for alarm.