Mojo-Jojo

If Mojo Jojo becomes untapped or leaves the battlefield, the control-change effect of Mojo Jojo’s ability ends. Each of the permanents put onto the battlefield with that instance of Mojo’s ability will default to their owner’s control if they weren’t affected by another control-changing effect in the meantime.

If Mojo Jojo leaves the battlefield, the card it becomes an object with no relation to the permanent it was before it left the battlefield. Therefore, the control-change effect of Mojo Jojo’s ability ends. (This uses the template of Rubinia Soulsinger‘s rulings.)

If Mojo Jojo stops being tapped before its ability resolves — even if it becomes tapped again right away — you won’t gain control of the permanents as they are put onto the battlefield. They are put onto the battlefield each under its owner’s control. (This uses the template of Rubinia Soulsinger‘s rulings.)

Once the ability resolves, it doesn’t care whether the chosen permanents continue to have a shared color, only that it’s on the battlefield. (This uses the template of Rubinia Soulsinger‘s rulings.)

As libraries are usually a hidden zone, while searching them for permanent cards that share a color, you may choose not to find a card in some or all of the libraries. This can be useful if you can’t find a good combination of cards that share a color. See 701.18b in the official Comprehensive Rules for details on searching hidden zones.