My BMW 320d drives just like a petrol engine
Have a look at the dyno plots for the 2l BMW Diesel and compare with a 2l Petrol engine. They're very different. Petrol engines tend to have a usable rev range of 5-7000 revs, with power and torque increasing almost all of the way up the range. Diesels are lucky to have a useful range of 3000 revs, with torque reaching its maximum very early.
If anything, a big old non-turbo diesel is closer in feel to a petrol engine than the current common rail lumps.
But with either, the throttle response and weight distribution is considerably worse.