Protect stalls out more Toxic damage. I'll try your move set though; thanks.
Gliscor is 4x weak to Ice; Drapion is 2x weak to Ground. Drapion's Ground weakness is not comparable to Gliscor's utterly crushing Ice weakness. Furthermore, most Ground-type attacks are physical, which can be sloughed off, but most Ice-type attacks (Ice Beam, Blizzard, Hidden Power) are special and therefore pose even more of a threat to the physically defensive Gliscor.
I have a team to support Drapion's weaknesses. I understand the risks of running a Pokemon in a tier higher than its own. How does the set itself look for combating stall (i.e. not sweepers)?
As for combatting stall, you're gonna run into some things you will not like. Poli/Thorn/Nite defensive core will undoubtedly give you hell, as Thong can set up Seeds with no Taunt, or wear you down with G-Ball. Poli or Nite can both come in and deal massive hurt to Drapion, especially D-Nite, who is usually SubRoost and carries Hurriccane and Thunder.
Also, Skarm/Tran/Gastro can wear you down quite a lot, too, especially Tran. As all defensive Trans carry Lava Plume and possibly WoW, Tran can resist both of your STABs, burn you, and proceed to wear you down with Lava Plume or the rare Earth Power.
Also worth a mention, Bulk Up Toxicroak can really ruin your day, as some semi-stall teams carry them. Resistant to Poison and resists both STABs, Croak can effective set up on Drapion and proceed to destroy it with boosted Drain Punches.
Finally, SD Gliscor pretty much destroys this version of Drapion. Un-Taunted, it can set up SD and hit it with STAB Earthquakes. Taunted, it can still hit it with strong Earthquakes and 3HKO, which isn't a problem since Drapion lacks a method of recovery except Leftovers/Black Sludge and Drapion can't do jack to it.
EDIT: Oh, and by the way, when you mention Ice type weakness, it is quite irrelevant. Most of the Ice-type moves that are most common are all special-based, and considering Gliscor's terrible SpDef stat, you would have to be one hell of a bad battler to let it sit in on any Special Attack to begin with, so its weakness is irrelevant. It's like saying "Oh, Skarmory is weak to T-Bolt, Thunder, Volt Switch, etc.". It's irrelevant because a majority of Elec-attacks in OU are specially-based, and Skarm is a physical wall, not meant to sit in and take special hits.
Gliscor has valuable resistances towards Elec, Fighting, Ground, and Bug, all of which are common attacking types in OU, from ScarfTom, Terrakion, Landorus, and Scizor.
Drapion has terrible resistances against Grass, Poison, Ghost, Psychic, and Dark. Grass isn't really a great type in OU to begin with, as it sports 5 weaknesses and its STAB move users do not have decent coverage in conjunction with other moves. You'll almost never see Poison-moves in OU. Ghost is really only used by Gengar and some Jolteon, who can 2HKO you with Focus Blast and Thunderbolt respectively. Psychic is only seen on Pokemon who have a STAB boost with it, and none of them would want to sit in on Dark-types in the first place. Dark moves are only seen on TTar, Scizor, and the rare Scrafty. Tyranitar uses his STAB Crunch a lot, but mixed and Banded versions can all hurt you with different moves. Scizor will only used Pursuit to Trap Psychic and Ghost types, and rarely uses it against anything else. Scrafty is rarely found in OU due to its niche being taken up by other Fighting types.