Hi Noddy 
So sorry to hear this is happening to you.
I am really surprised no-one thinks the heart problems are caused by years of dialysis. DH has tachycardia and has had two heart attacks and constant hypertension, caused by the renal failure and years on dialysis. He still gets periods of hypertension which, whilst controlled with meds, hasn't really improved since the transplant.
When I was admitted, there were two women who also were post transplant who had cardiomyopathy. One of the ladies had a failing kidney and heart issues, and they did this process with the dye but with the pre and post saline. Her kidney didn't make it, but then her creatinine was through the roof (500+) so it was going to go anyway.
What's your creatinine currently? How is your potassium (this is always one to shoot up if DH is unwell) ?
I don't disagree with refusing medical procedures, especially if the cardio consultants aren't taking into account your renal history, so in your case I would push for this procedure to be done without the dye if you are seriously concerned, or see if they would compromise with the pre and post IVs fluids?
I really hope your MRI gives them some clear answers and fingers crossed tis not hereditary. I will also send you some brilliant kidney vibes and hope that it continues strongly for you for at least another ten years!