Has anyone had any problems with having players of vastly different skill levels in the one side play together?

My indoor side has several guys that in an outdoor setting would be about AA14-15 level and a guy that would be about AA1 level, with me stuck somewhere midway between. The team without the AA1 level player is competitive being able to work as a team in defence and attack at their own pace. With the AA1 level player we score many more goals but also concede even more. A hard fought 4-2 loss to the top side becomes a 10-5 loss.
With his higher level of fitness and skill level the AA1 level player wants to go on attack first touch after winning the ball back, which is good for scoring quick goals but it leaves the lower level players in a disorganised heap trying to keep up with him in attack. Once the ball is lost it becomes much harder to get organised in defence and the opposition gets a lot of free room to get a shot away.
I find that the harder the higher level player tries to play the worse the lower level players performances seem to get.

Usually I find playing with better players easier, even against much higher opposition, because they can fit into the system and read their teammates better giving everyone more time.