We use the Mac's rear tire downs also, no issues after we switched from a single strap over the rear.
We don't use the front tie downs, but we do have a board under the rear motorplate, that we lower onto when we are loading the car with our dolly under the nose. I have heard of a team that had the blow-up bladder go flat and break the lower chassis rails while towing.
Even the Big Show guys have to front half their dragsters a few times ayear because of chassis flex during towing.
Save your dragster, support it.
Jon