The new Champion Select is just as much to blame as DQ.
Super long queue times? New champ select. Diamond 2's being matched against Challengers? New champ select. Autofill? New champ select. The only real issues with DQ itself are premades vs. non-premades and people being boosted by their friends to ranks they don't belong. Notice what pros are talking about when they complain about DQ? It's almost always those first 3 problems which are the fault of the new champion select.
And yet, I don't see anyone clamoring for the removal of the new champion select. It's all DQ, as if removing that and leaving the new champ select will magically fix everything. Newsflash: Queue times and bad matchmaking are the biggest problems facing ranked play right now and both of those problems are largely caused by the new champ select. You'd be far better off clamoring for a return to pick order than for the removal of DQ.