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Switch the Stormtrooper doctrine out in favor of Hardened vets. Hardened Vets are cheaper and can take more special weapons. The Sgts. can also take "officer only" items. Hardened Fighters are superior in every way. Also you are going to want to max out your special weapons, so every model in your command squads, except for the officer, should get one. Think about special weapons teams as well. A small unit, but with 2 meltaguns and a democharge, they pack quite the punch! Capt K

I wouldn't waste the doctrine point on heavy weapon platoons. Take Close order drill instead. It's free and when you land you will already be set up to use it if you get charged. Capt K

Here are the doctrines I would chose if I played a drop troops army:

Iron Discipline
Veterans
Special Weapon Teams
Close Order Drill
Drop Troops

Capt K

You don't need heavy support with a drop troop army. Your anti-tank is in your special weapon squads and your command squads. With meltaguns and democharges on the special weapon teams, and 4 meltaguns in the command squads, you will be able to handle any armor on the table. You can also take sentinels with Lascannons if you are that worried. With the ability to land close, will allow those squads to pick on armored targets, while your other squads focus on infantry.
Capt K

Here is a sample idea list to get your mind around the concept of how drop troops should work.
HQ:
JO with Honorifica. Las pistol, PF, Iron Discipline 4 meltagunners

Special Weapons Team X 2 2 Lasguns, 1 Democharge, 2 Meltaguns

3 sentinels with Mulitlasers, upgrade one with Improved Comms.

TROOPS:
Platoon 1
Command Squad
JO with lasgun, Iron Discipline, 4 meltagunners
8 Guardsman 1 LC, 1 PG
8 Guardsman 1 LC, 1 PG

Platoon 2
Command Squad
JO with lasgun, Iron Discipline, 4 Plasmagunners
8 guardsman, 1 LC, 1PG
8 guardsman, 1 LC, 1PG

ELITES:
Hardened Vet Squad
3 Lasguns, 3 Plasmaguns

Hardened Vet Squad
3 Lasguns, 3 Plasmaguns

Hardened Vet Squad
3 Lasguns, 3 Plasmaguns

FAST ATTACK:
Sentinel with Lascannon
Sentinel with Lascannon
Sentinel with Lascannon

Not sure what the build total is, but you get the idea. Your command squads and special weapon teams target armor, your hardened vets take out High Toughnest models, Monsterous Creatures, or models with a 2+ save. They are suicide squads. Everything else supports them and captures objectives.