I'm going to have to go with NO on this one, here's why:
1. main hoop has to be the full width of the cockpit (9.4.B.1)
2. Front hoop must follow the A pillars (9.4.C.1.a)
3. Two side tubes connecting the front an main hoops are required. these may be nascar style or an X. they may extend into the fornt door. a long list of door parts may be removed if the door bars enter the door cavity (9.4.C)
4. Any number of additional elements may be added within the boundaries of the minimum cage structure (9.4.G.6)
the B pillar is not part of the door. the only REQUIREMENT is to connect the front and rear hoops, which by definition does not require penetration through the door or anything else (in most cars, certianly true this one). There is no allowance given to leave the cage envelope (AKA required structure, consisting of main and front hoops, door bars, rear support braces, and allowed front 7th and 8th points - see 4 above)except by "may extend into the front door" and there's a laundry list of specifically allowed and disallowed modifications to accompany that. the only allowance I can see for bulkhead penetration is for braces and the like through to the trunk etc... "through any mandatory or optional bulkhead..." and that's in a different section of the cage rules than door bars.
Do I think it's safer this way? yes - in a rollover or heavy impact, the possibly compromised B pillar is redundant to the cage. the load path is significantly better that the zig-zag or "Z" bend needed with a more stricct adhearance to the rule, assuming the door bar continues as shown in a strait line to the main hoop.
but I can't find substantiating allowance to do this - the nascar door treatment is NOT mandatory, so there is no blanket allowance. Tech guys will differ in opinion, they do about everything, anyway. even if one says OK, another might not. easier to just NOT build the cage this way and KNOW it will get signed off.