Drastic pruning of holly shrubs

I have a terribly overgrown pair of holly shrubs, that for years have been trying to grow over to some sunlight in my small urban backyard. I am not sure that they can even be saved, but in case they can, can anyone say if drastic pruning can be withstood by hollies in mid-March? Their branches go at least 3-4feet out from the original shape.

Yes they can.Do it now and don’t worry about nothing but sticks left.I have trimmed them back to nothing but a few leaves and they seem to thrive on this.Just watch for the graft mark on the lower limbs and don’t cut below it.If these were minatures to stsrt with they were grafted onto a larger version that will turn into a tree if you cut to low.Good luck.

What you have in your mind?