It only seems incredibly slow in this model because it doesn't take special relativity into account. If it did, then as you approached the speed of light the Lorentz contraction would make wherever you are heading appear less far away. You can in theory get anywhere in the universe in an arbitrarily short amount of proper time your own reference frame. Of course, you might not survive the G-forces, but that's another matter.
The Lorentz factor at 0.5 c is 0.86 so this only reduces your proper travel time by about 15%. Even at 0.9c the LF is only 0.43, so it would still take you 2 years just to get to Proxima Centauri. And as you approach c, 1G acceleration speeds you less and less. And you also have to slow down at your destination.
