I have been reading up a bit and I am seeing some people stating that AA is almost pointless when using a 1080p resolution
That's not true at all unless the person had a blurry monitor.
I don't really have the horsepower for AA, because I much prefer staying as close to 60FPS as possible. This is a fast past game with action, and I don't like my framerate to drop when things get intense. I am particularly sensitive to framerate changes or choppy framerate. I much prefer smooth framerate to smoothing on edges.
I also prefer high quality textures, rather than smoothing on low quality textures. So there are some trade-offs.
Some people are fine with 30FPS, and would rather have the image quality. 2x AA is really nice, if you can afford it. Obviously, more is better.
FXAA is faster, less accurate version of AA, but it blurs the screen too much for my liking, and still has a slight peformance hit. So, I don't use that either.