As DW and Lorenzo have said in the past, you can have both Boxing and MMA. It isn't that only one can live, this isn't the highlander or combat sports or anything.
The real problem is the elitism of the fans. They want to believe THEY are more knowledgeable about combat that the OTHER guys are.
Does any of it really matter? Boxing is just as skilled as MT, which is just as skilled as Judo, which is just as skilled as Sambo, which is just as skilled as Wrestling, and so on. MMA is a jumble of those. The best comparison I can make is that in each pure sport these guys are working on very minor and minute details where as MMA it is better to be a jack of all trades as very few specialists make it to the high end.
The current real problem with Boxing isn't the sport but the organizations that are trying to run it. They are corrupt organizations that like to pad records to hype up a fight rather than show the true talent of a fighter.