So FPS games have changed dramatically to work on consoles. They are often third person, and it gives you a better sense of space on a display so far away. They have become 'slower' and the fighting has become mostly horizontal and far less vertical, because controllers just aren't as good as a mouse in terms of aiming. The games tend to have lots of 'shooting' gallery style situations since it's harder to both move and shoot. The whole chest-high wall thing is another by-product, as is auto-aim.
I'm not saying you can't play FPS: you definitely can, but a mouse fits better. I find console FPS / TPS games are easier on PC because the mouse aiming is just so much easier.
I can't think of a way of phrasing this in a way that doesn't sound like "my dad could beat up your dad", so I'll simply say it and hope for the best: I'd wager than an average FPS player on a mouse + keyboard would be 'better' than a good FPS player using a controller, due simply to mouse superiority.
(I haven't played a console FPS in a couple of years though, perhaps things have changed)
