Take A Spin at The Wheel?

So what I understand is that these three men are politicians who tried to appose the invasion that ended up leading to the fall of Florence. So these men are put in hell because they all worked together to protest this war which is why they form a wheel as wheels help move stuff and make it easier. However I thought that Dante liked Florence so im not really sure why he would throw people who tried to protect Florence in Hell, but then Dante seems to hate everybody so im really not that surprised. The men could possibly be in Hell because they are politicians and Dante hates anybody with any power what so ever. Either way they are pictured as wrestler because they went against some type of war and they are in a wheel because the men worked together to destroy something.