Inspiration strikes - RTS Chess

Chess is typically a turn-based game.  You move, my move, your move again.

I had this inspiration to make a RTS chess, how would it work?

1. Take normal chess
2. Remove rules regarding turns
3. Each player can move as many units as he can at once (no moving two units simultaneously - aka two hands), and as long as each player moves at relatively similar speeds...

We have Real-Time-Strategy Chess!

• Normal rules of taking the enemy pieces apply, so if you are ready you can take them before they run off (or take you)
• I think this actually subtly changes the chess 'trading pieces' play.  It's very likely that players will form walls of pawns and the play may come to a stalemate situation where neither player wants to make the next move which may endanger his position.
• Chess games will be fast though :-)