Yes don't do it.
I would argue that the crack should not be closed because it's been open too long and it also appears that one of the two cracks having been forced closed prior likely caused the second crack.
I agree that you should not do this yourself but for who would be doing the repair I would leave the cracks open, clean out old glue, expand the cracks so a uniform piece of wood can be added and add wood. Then I would cleat the inside as needed and conservatively since this is an important area of the top. Five very small cleats or so would be on my mind.
Adding wood not only closes the crack but it glues it back together AND relieves the very same internal stresses on the top that caused the cracks in the first place. Forcing a crack closed that is as bad as these two will only encourage new cracks in short order the next time the guitar gets dry.
Fill the cracks with wood, cleat, check for loose braces and reglue if necessary.
Now here is the fun part and that is the finish touch-up which is a huge reason why this is complicated and not recommended for you to do yourself. You will be attempting to match new nitro to amber old nitro....
So again, as mentioned this needs to go to a pro. If you don't have a pro and you have been absolutely sure that you can't find one I would simply stabilize the cracks open with several small cleats on the inside with reversible glue.
Don't use liquid hide glue it's **** and I would not even use real hide glue because it requires experience and special equipment. Do you know that with real hot hide glue your working time is only seconds? We try to have all clamps in place in 15 seconds or less and preheating can extend this time. But HHG is difficult to use for a first timer, avoid it.
Titebond Original ONLY is what I would recommend for you installing cleats on the inside and then living with it.
Be advised that right now the guitar can be repaired. If you attempt this yourself and screw it up badly you will harm not only the guitar but it's real value over what it has now.
I have to add that we, you are in this spot in the first place because of a poor prior repair by someone who likely did not know what they are doing. Do you really want to go there again with this nice old Martin? No disrespect intended it's my life's mission to try to save guitars from enthusiastic repair folks with zero experience faced with a difficult repair like you have here.

Sometimes less is more and buying time can provide you with an opportunity in the future to have a proper repair done by a skilled, experienced Luthier.