French doors, I think you see your own problem, pretty, but weak, it won't stop 200 lbs of anyone halfway determined. I am assuming your doors have like 9 windows each in them, if they don't have glass, then Michael Janich idea about a sheath on the inside or better on the outside could help, plus putting some substantial reinforcement on one door that you don't expect to open very often, making it for all intents, not usable without some effort.
Now I'm going to describe what was taught to me in a security class, which first taught us how to break in to structures, It is called a Government door, and I do not know if it is true, but parts of it make a lot of sense, and no, I have not built one.
1) solid wood core door or steel door.
2) longest dead bolt available.
3) metal plate around the dead bolt on the outside and inside to prevent pliers and hammers from busting or twisting it out.
4) drill through the door jam an 1 1/4" hole, to the next stud adjacent to the door lock receptacle, install an iron pipe, with a 1" ID. This is what the dead bolt will engage. If your handy, reinforce the door jam, with an additional 2x4 for added support on the lock side and the hinge side.
5) You'll need a long spade bit to do this, drill long holes, at least a foot, perpendicular to the door about 2" above and below the dead bolt, 1/2" holes, and the install 3/8 rebar cut to length in those holes. This will be a loose fit and will clang a bit when shutting the door. The advantage here, is if someone uses a saw, it will hit the rebar, and the rebar will spin, and not give the saw any purchase.
6) remove the center screws from all 3 of the hinges, both sides, drill out the holes in the hinges to 1/4" and then install 1/4" lag bolts on the door side, extending 2" out from the door, and then cut the head of the bolt off, and when you shut the door, you don't have skinny little screws holding the hinges, you have 1/4" steel studs in 3 places.
According to my teacher, this door will defeat the 6 minute rule, the maximum amount of time, someone will give to breaking into a structure in plain sight.
Don't forget garage doors, once inside the attached garage, the bad guy is hidden and can take all the time He wants. Maybe even use your tools to do it.
I also learned lock manipulation at this class, that is usually my 1st choice, tools fit in a small pouch, and usually successful in under a minute, my day job makes this a good skill, I highly recommend learning it.
That's it and would like your feedback. Especially TAB, as he is in the business.
A good DEA friend of mine, said when he worked New York that people would install 2 New York locks, 1 high and 1 low, at that point it was easier to go through the wall. The New York lock is badass, as long as your inside, does not help when your gone.