Thanks for the advice, guys,
I managed to yank the whole thing out after removing all the bolts. It was from an '85 car, so fifteen years of sunshine, damp and what have you, had made it quite tight to remove.
I do not know much about dash covers, though I read somewhere that it does warp over time due to sun exposure. The cars in my place are RHD, so I do not know whether do anyone stock them.