I don’t know anything about putting kerosene in a home heating oil tank, but where I live (in Oregon) diesel and home heating oil are the EXACT same thing and come out of the same tanks – if you talk to the drivers that deliver, they will tell you this. A funny thing is, "off-road" diesel (the stuff they add red dye to) is completely untaxed, while home heating oil carries about a 3 cents a gallon tax (same product, just depends what your ultimate use is how much they charge you). Highway diesel would burn exactly the same as home heating oil, except it doesn’t have the red dye added and it costs about 24 cents a gallon more for federal highway taxes plus whatever more your state adds too.
I have never heard anybody use diesel for home heating oil, but the formulas are very close to the same. Using Kero in a diesel engine is guaranteed to make a mechanic rich. There is no cylinder lube included in the Kero formula and the diesel must have that or it will seize up. If diesel is cheaper than Kero, try a 50/50 blend and see if you can stand the smell and if your burner will do okay, if so increase the blend accordingly.