Why would you do that? If you are uncomfortable with a cocked and locked gun, I recommend a different style weapon. (My striker fired S&W M&P .45 suites me well, so does the Para LDA and I carried a TDA 645 for 15 years--great gun.) If you really like that single action trigger, but are still uncomfortable with cocked and locked carry, then carrying with an EMPTY chamber is even safer, more fumble resistant and gives you that light, crisp target trigger you may be looking for.
PS
Most stock, original 1911s are NOT safe carried with the hammer down on a loaded chamber and just might go off if you drop them just right ("just right" means the muzzle will probably be pointing right at your, ehem, lower body).