In TX, it looks like this would cover the situation. Even if they didn't have a stolen car, the thugs presumably still had the stolen keys, at night. I don't have a problem with laws that allow shooting the vermin who make life harder for decent people who are barely getting by. Even if insurance "covers" the theft, it doesn't cover the increased insurance rates due to a high crime neighborhood.
again burglary is stealing from a dwelling house, as opposed to breaking and entering or stealing
however, if it was nighttime, meaning no daylight maybe the Texas statute is broad enough, nonetheless, if you shoot someone, there will be investigation, lawyers and life will be complicated, although not as complicated as if you got injured or killed