Grammar IT,
Miracast uses WiFi Direct. WiFi Direct is essentially a secured point to point WiFi connection. Since Miracast uses a WiFi signal to communicate, it is at least a friendly interferer. The performance impact of this is similar to a user streaming a video on a neighboring network. If it were a non-WiFi signal in the same frequency band, the impact would be much more severe.
The devices, when in use, should be no worse than a "power user" on your network. They can, and probably will, consume a large amount of the bandwidth on the channel, but they will compete for air time just the same as any of the other WiFi devices on that channel.