This is how I keep the longarm in a straight line from side to side. To lock it for motion front to back, the clips go around a different set of wheels, on the back rail. I know some people put their clamps directly on the wheels, but for me this works better and has absolutely no chance of harming the wheels.
Yes, you should be able to do what you want to do, but I agree that your quilt needs to be straight and you need to be sure that it is also loaded straight and kept straight as it is advanced.