They need to increase the min rank limit to play competitive to 50 or 60 at least.
This is not the answer. Some people will want to make a smurf (for instance I own both ps4 and PC versions myself). No point in making people grind for no reason.
Even League of Legends had to make it easier for new players to get to ranked. Crappy players will float towards the bottom. And if you think they suck then why are you getting paired with them? If your MMR was so good then surely you would not be on their team.
That's all there is to it. mmr does not lie.
edit: Only legit reason people could ever have is if they are paired with friends in a party. Then yes- even if you are super good you might get paired with bads if your friend messes up the curve