Those heatsinks are just decorative and are used only because they're cheaper than high quality RAM chips. The only memory that uses them legitimately are Rambus RIMM and some DDR3 Samsung DIMMs.
Don't pry between the circuit board and heatsink because there's a real risk of ripping some chips off the board. If the heatsinks are attached with thermal tape, slice through it with a thin razor, but leave the heatsinks alone if they're epoxied in place and just cut their fins off. The safest way of cutting off a double row of heatsinks is with a Dremel cutoff wheel. Don't try bending the fins because that can also rip chips off the board, but if you still want to bend them, use two pairs of pliers, one to grab the fin, the other to hold the rest of the heatsink near that fin.