You did what I did to my XWWs OM. I too beat him down.
Then, For many men cheating is a deal breaker, it was for me so i tried R for a while, my wife was also remorseful but It was taking a heavy toll on my life, happiness and self esteem. I too saw the pictures of them fucking in my home on my bed.
I tried R only for the children but then too it was too much for me. I told her and filed for D and She was crying like anything for a R.but the damage was done and no amount of crying or remorse could undo the damge. now I started over my life again and I have my children and a beautiful GF.
R is a tough thing to do, it takes even two to three yrs for getting over the pain and images.
So I think its too much for some men to get over the pain and humiliation. As you too have young children and your wife is remorseful (regretful?) there is nothing wrong in trying for R and if you couldn't then you can tell her and Divorce her. After D after some time if you can work through this then you can do it.