Tywin isn't a evil dictator looking to slaughter for fun. Even the business with The Mountain raping and pillaging was just to draw Ned out so he could be captured. But Jaime with his bravado confronted Ned and injured him, which is where Beric came in to take his place. Tywin unfortunately doesn't have family members that does what he wants.
Nope, you are the one who want to believe on something that is not in the books.
You will have to quote where does Tywin says he would like to have Stark going to the wall. Where??? Actually, he never says that on the series also. Even on season one, he asks his son "Why is he still alive???".....so both book and series clearly state that Tywin does not care that much about Stark at the start.
Tywin only starts thinking on other options after he gets in a really bad place in bettween what could be the south and the north marching for Kings Landing. Still, as soon as the southern border is once again safe, Tywin gets back to his original idea and it´s bye bye to all the Starks he may get his hands on.
Also, you have to remember that it was actually Tywin who did start the war! It was not Cat, It was not even Jaime, it was Tywin! And I tell you why:
- Cat did something wrong but she was still not starting a full out war. Cat´s issue could have been solved bettween Tywin, Nedd and Robert, should they be willing to. Robert was quite willing and Nedd only jumps the gun after he gets news about The Mountain going all friendly on the riverlands.
- Jaime also did not start a full out war. Jaime did a move against Nedd but he run away when it did not work quite that well. Jaime was not really trying to start a war. Actually, Jaime only got involved on the war once his father ordered him to go and beat the crap out of Riverrun.
The only 2 leaders who actually called for a war were Tywin and Robb....and Tywin actually did it first by declaring full out war against the riverlands (without any reason for it by the way).
Actually, had Robb not called for his banners, it is most likely that Tywin would sweep through the riverlands and then try and march on the North.....he was actually marching that way when he found out that Robb was heading south. It is telling enough that Tywin was not even marching on the vale to get Tyrion back....nop!!! it was more or less obvious that he knew well enough that Lysa would stay neutral and therefore he wanted to get the Riverlands and the North as fast as possible...thus he split his forces bettween him and Jaime.
Now if this is someone who wants for peace.....he never actually did nothing to get it and you will have to point me to anything that Tywin actually did in order to get peace with someone. Did he actually do anything?
Keep in mind that even when Robb was no longer a threat and had to pretty much fall back, even then Tywin was not asking for peace. We know well enough what Tywin did and most likely will do in the series also. He will wipe out the Starks.
Now if that´s someone peacefull.....