Most of what you are describing can be greatly rectified by replacing the existing drive in your PS4 with a SSD, especially if you play a lot of digital downloaded games. You can also use mouse and KB in many games, if they support it (not sure if DAI does). I can't speak for your friend's rig, but at our house with really new TVs (240 refresh 3d capable ones) it was pretty indistinguishable from the demo on PC on the same TV, though I admit my video card is not bleeding edge (GeForce GTX 650), so someone with a top end card is going to have an edge for certain. The PC is assuredly better, but a good PC is going to cost a lot more than a PS4, even when you upgrade to a SSD.
Back at MP, the wife and I have been having a blast (we have multiple TVs in our bedroom with their own PS4s /white privilege) and its a lot easier coordinating with her when I can glance at her screen and see whats happening in the backfield (she played ranged guys, I played warriors mostly). It was like playing a LAN party game. Going to see if we can get two more of our RL pals to play regularly with us to cut down on the stupid.