Ok, I'll bite.
No, this would be completely missing the mark.
First of all, the motherboard can not accommodate 4 double slot video cards. You say the games you will be playing are RTS games, that would usually mean that you want as fast a CPU as possible, so shifting some of the budget from the GPUs to the CPU would make for an overall better performing PC, so you are looking at a P55 or X58 build instead of an AM3 one.
Now, you don't want any kind of lag, I guess that means you want to go with a SSD instad of the VelociRaptor, which should be possible seeing as you are moving away from the 4 5750, if instead of those you go with a 5870 which should be enough for RTS games, but since we are going to ditch that 1600W PSU, there should be enough budget for a 5970 should you be able to locate one.