Limestone floor cracking.

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Hello everyone
It's been a while since my last post. We have completed the refurb of the house, and my wife is looking at the kitchen floor and is not happy. For those who don't remember , we have a limestone floor that cracked. It's in a terrible state. Couple of questions. Are we asking for more trouble if we don't rip the floor up and start again? Would porcelain tiles fitted over the top of the limestone, just be as bad? What about wood over the top of the limestone? Am I clutching at straws and should I bite the bullet and start again?
Also, our bathroom upstairs was tiled with one of these electric blanket style forms of underfloor heating. It works well. We fancy it for the kitchen downstairs when we finally decide to renew the floor. Any pros and cons considering what we've been through with the kitchen already? Is it suitable for a wooden floor? Anyone know an amazing tiler in the glasgow area? Thanks in advance. P

Mr Brampton, I can answer many of your questions regarding existing problems and possibly reinforce your options for new installation. Cheers us.