Yes, playing with a mouse will make you a better tank--because you can move better.
You don't necessarily have to walk with the mouse. Most tanks use the mouse to adjust their camera and their movement direction. They also use it to select their targets.
When moving up/down/left/right, I suggest to not use the direction arrows on the right side of your keyboard. This is because you're missing out on the myriad of other buttons you can keybind to if you use the WASD or ESDF to move.
I've got more plate than your grandma's cupboard.