Skill distribution broken?

You won't do anything. This is normal in the "new continuous matchmaking". You have to compete with the best and enjoy the game that way. The problem is that a large part of the "best" are simply cheaters.

This game is becoming more and more visible day by day how it has been dominated by 3stacks, streamers and cheaters.

Solo Q has never been as bad as this and last season.

No offense, but in solo queue I usually have teammates with such stats, but usually we are killed by a full 3stack (each with several dozen kills on one character + best badges, sometimes master/pred badge).

This is fair matchmaking according to EA/Respawn. It is getting worse by the day, because for almost a month and a half on Steam alone there are on average 40 thousand players less. This is very very very much. I don't know how the hell you're in this part of the lobby, but I do know one thing - this matchmaking doesn't serve anyone except very skilled 3stacks and cheaters. The entire lobby is usually wiped out by 1 powerful team that you can't do anything to.

Then you die and repeat the same thing until you manage to win one game 50 or 100 times, and then matchmaking will torture you again for another 50 or 100 games in a lobby where you can't do much.

I don't know what happened to this game and at what point it fell into such a mess, but it probably won't get out of it. Too many mistakes, too many bad changes, too little has been done to combat the cheaters who have dominated the game for several seasons now.