You're not going to find many better ways to find a more true national champion than putting the top 64 teams in the country together and playing a tournament. In no way would this be mythical. That is exactly what I originally said, which you somehow took as a mythical national champion, probably because you don't read good or do other things good.
Go back and read (slowly) what I originally posted, which was also a response to Dan who was talking about PLAYING two tournaments (NCAA / NIT).
Ok, iahawks, you obviously don't know the definition of a "true" national championship as opposed to a "mythical" national championship. Instead of slinging insults at you, I will explain it:
Under the umbrella of a true national championship system, every single team (or individual, in sports such as swimming, wrestling, etc) within a division has a fair chance at winning the national championship. Teams play a regular season and sometimes a conference/regional tournament to determine who gets a chance at this privilege. Of course, most national championship tournaments also include a number of at-large berths. The bottom line is that no matter what size your program is or what conference it is in, when the season starts, it has a defined path to the national championship.
NCAA FBS football, on the other hand, determines a mythical national champion. This is because not every team in FBS has a clear and fair path to the national championship. The teams given this privilege are determined by a committee's selection process only. Even with the new "playoff," the championship is still mythical. A team from the Sun Belt that goes 12-0 has no chance to play for the national championship. There have even been instances of BCS/Power 5 teams going undefeated and left out of the national championship picture, and this could still happen.
Your proposal of putting "the best 64 teams" into a tournament to determine the Div 1 NCAA basketball championship, with no consideration of auto bids for every conference, poses the problem of becoming a mythical national title tournament, whether you want to believe it or not, since it would be excluding numerous Div 1 teams from a chance to compete for the title. Your "in no way would this be mythical" statement is plain false.
If you propose that Div 1 basketball be subdivided into 1A and 1AA, with 1A being the "Big" schools and 1AA being the smaller schools, with the NIT becoming the new 1AA basketball national championship tournament, that might be worthy of discussion, but that is not really what you said. There will be ongoing talk about splitting Div 1 football into a 3rd subdivision, with the Power-5 conferences the only members, and a true 8-team national championship tournament. Doing what you suggested for basketball would be going in the opposite direction.
So, be careful with your "reading comprehension" insults when you don't exactly know what you're talking about.