That Patak's Kashmiri Paste is pretty hot. Here are the ingredients of the Kashmiri paste from the Patak's website:
Water
Chilli (19%) -> I presume "Kashmiri chili"
Vegetable oil
Coriander
Salt
Acetic acid -> aka "vinegar"
Spices (contains mustard) -> :/
Ginger powder
Garlic powder
Since ingredients need to be listed in the order of amounts included, the main part is water, then lots (!) of chilli, plenty veg oil, quite a bit of coriander and (plenty) salt, some vinegar (to preserve things better), "spices" including mustard as well as ginger and garlic powder.
My suggestion would be to find recipes for Kashmiri Masala spice mixes (dry) and build sort of an index of the spices they use and go from there. You can convert any dry spice mix to a paste with the Oil and water, if you really want to.
Edit
Here are the ingredients of "Pasco Kashmiri Masala" paste - together they might be representative ?!
Rapeseed oil, coriander powder, garlic, chilli powder, ginger, cumin powder, turmeric powder, mixed spices, acetic acid, colour:E163.