When I drive, I enter this sort of trance-like state where everything just kind of blurs together. You know, almost to the point where I'm driving by smell and taste. But that doesn't help other drivers very much.
When we were just speeding about the field, my coach and operator acted as another two sets of eyes and ears. More specifically, my operator kept an eye out around the robot and our coach kept an eye out on the field. When paired with mecanum drive, we were able to slip in and out of holes in the defense (or just the mess of the field) with ease.
Also, each person should keep an eye out for their positions. I paid attention to things like the drivetrain working properly and which way the robot was pointed (it's pretty hard to tell which way is "forwards", especially after our flag fell off.... again). My operator kept track of whether the arm was tucked in (for lowering the ramp or defending), arm extension, etc. Our coach kept track of the field, noting where we'd been, where we are, and where we need to go.
On a tangent, I just realized that our coach's mentality is exactly like figuring out fingerings for piano. You need to know where your hand was, where it needs to be, and where it's going afterwards.
Above all, you need to remain cool. I worked with one team at VCU whose driver had the shakes so badly while trying to rewire their robot in the queue that I had to tell him to calm down and step away while I brought in the electronics guru on my drive team to finish the job. You need to not only remain cool on field, but also off the field, and hey, why not, in life too. Don't fret about bad matches and such. Sometimes, @#$! happens. Instead, quickly get necessary repairs and modifications done and start prepping for the next match. We started off Friday at VCU by losing 3 in a row. As disappointed as I was, I found that I actually didn't even have time to fret over losing (especially when it wasn't our fault each match).
This post is getting kind of long-winded and everybody drives differently, so I think the best way to sum things up is this:
"Feel, don't think. Trust your instincts."
(And your drive team and your alliance).