That right there should be changed. Connect the ground to chassis ground as close to the radio as possible, not the battery. Connecting anything directly to the battery's negative terminal invites not only noise but a possible return path thru your radio should the main ground lead become loose.
There is different thoughts on that. I was always told it is better to go directly to the Battery with the ground, but to be sure to fuse the negitive to prevent it from becoming a return path back to your radio.
This is from K0BG's web site an extremely informative site on all aspects of a mobile install including noise elimination Wiring & Grounding
KØBG.COM
"Although there are two schools of thought with respect to where the power cable ground of an amateur transceiver should be connected, all agree that the chassis should not be used as a ground return. While this practice was wide-spread in the past, doing so in a modern vehicle should be avoided at all costs. It is important to remember that today's vehicles are rolling computers, with some models having as many as 50! Each one of these CPUs has sensors connected to it which control every facet of operation. Using the chassis for a ground return can cause a ground loop to occur which can corrupt the data read from them".