I agree, during his tenure at Brazil, they did alright and they won and they were happy, but obviously he may not be the same person and the team may not be the same team so maybe this could be a bad idea. I am not against giving him a try out, firing the current manager would be awesome and they should, but the problem is that if they hire Tite, they won't be firing him anytime soon, they will keep him until end of world cup.
The daily work done at a club is completely different from that done at a national team. Tite was the coach of the Brazilian national team for many, many years, so he is already accustomed to the routine of a national team. At the club, he did poorly, but he did not leave the team in total chaos. He did a below-average job, of course, but nothing as bad as Dorival Junior's work at the helm of the Brazilian national team. Tite had not been in charge of a club for a long time, and I believe he had a lot of difficulty in getting back into the swing of things... Today, thinking about it, the best person to coach the national team today would be to bring back coach Tite, or else try to find a high-level European coach.