Well, stabilizers are used primarily by crafters (whether non-crafters buy them to trade for crafted items, or crafters craft them, themselves). With version 2, the cybertech's realised that 1million for an armoring and 600-900k per mod were prices that weren't going to fly anymore. Who would pay through the nose now for what will be average gear soon? A large volume of armorings, mods, stabilizers, crafted hazmat (implants/ear) and dread relics started appearing on the market. Naturally, people undercut each other by small amounts on the GTN as more and more appear on the market. Prices of both crafted items and mats predictably fell. They will continue to fall due to a large increase in supply coupled with a large decrease in demand.
As a cybertech that liquidated a large volume of 27 armorings and mods upon seeing version 2.0 gear changes, my advice to sellers is to sell out asap (fire sales) and for buyers to hold onto your credits. Stabs are going to continue to decrease in price up until 2.0 goes lives, and from there be worth little. From what I understand, Exotic Element Equalizer are the new Molecular Stabilizers.
Cash is king at the moment.