I see where I went wrong with the mass, I listed the mass of the four SRB's and forgot to include the CaLV.
I don't think that would work very well, but it ought to move like a bat out of hell.
For your masses, I'd use the burnout mass of each stage plus the useable propellant. I get the following:
SRMs:Â 751,220 * 4 = 3,004,880 kg
Stage 1:Â 97,640 + 1,004,892 = 1,102,532 kg
Stage 2:Â 22,063 + 207,695 = 229,758 kg
Fairing:Â 4,773 kg
TOTAL:Â 4,341,943 kg
Since you're going to have a bigger payload than the CaLV, you might want to increase the mass of the fairing (maybe in the same proportion as the payload increase).
Here's something else to consider: The 2nd stage of the CaLV is made to operate like the S-IVB of the Saturn V, i.e. it provides the final impulse during launch and then re-ignites in orbit for TLI or TMI. If your redesigned vehicle is being used solely as a heavy launcher to boost large payloads to LEO, then the 2nd stage is probably underpowered. I recommend adding two more J-2 engines for a total of four. This will provide twice the thrust and half the burn time, which is probably better for your application. I'm not sure what the mass of the new J-2S+ variant is, but the original J-2 had a mass of 1,578 kg/each.