I've seen it done. Back in the 70s. On a Demon drag car. It wasn't pretty.
That was over 45 years ago so the main things I remember was that the k-member was cut so the Pinto rack & pinion was mounted through the k-member. It was still forward enough that the tie rod ends angled rearward from the rack. And with the spindles swapped side to side, the steering arm was angled inward toward the front of the car. So, when the car was steered to the right far enough, the left steering arm and tie rod end would end up in a straight line and could go over center. Then when the steering was turned back to the left, the right wheel would go back towards center and the left wheel would be turned right about as far as it could go. Now if you don't turn the steering very much, you may get away with it but it's a really bad idea.
Of course steering to the left would have the same effect the other direction.