The easy answer to your question is no, the 15mm and thermal backer won’t be stiff enough.
Is the “rubbish chipboard” the floor itself? If so, leave it be unless it’s falling to bits and rotten. Use 6mm or better still, 12mm Hardiebacker or No More Ply, glued down over the top of it with a flexible tile adhesive and screwed at 400 centres. this will be a much stiffer floor than ripping it out and putting other layers down.
If the chipboard is sound, you could also look at a decoupling layer such as Shluter Ditramat, again glued down with flexible tile adhesive. This will allow movement in the substrate without cracking tiles above. Both can be used with underfloor heating as long as flexible adhesive and grout are used.
I’d not bother with the thin thermal layers as, IMO, they don’t offer much performance for the added cost, and addicting additional layers is adding more potential failure points by my way of thinking.
(tiler for 20 years if that’s worth anything)