In the current meta, you have to have 'outs' when the Runner rigs up and can break all your ICE. If all you're trying to do is score behind stuff that's big and nasty or just a simple gearcheck, you will lose more often than not. That's just where we're at.
Some examples of what I mean by this are Fast Advance cards (Biotic Labor, SanSan City Grid, Jeeves Model Bioroids, Psychographics), cards that get around R&D Lock (Fast Track, Sensi Actors Union), or cards that cause you to just win (Exchange of Information, Scorched Earth, BOOM!).
Dragar is right: Controlling the Message and the 24/7 BOOM! decks (SYNC or Near Earth Hub) are pretty much the best at this right now because they can normally incorporate several of these outs all at once, making the whole ICE/Icebreaker dichotomy somewhat moot.
You also just sometimes have to roll a hard six in this meta and power draw for what you need: That Biotic that will help you score a 3/2 out of hand, the Psycho that can give you a 5 point Beale, your kills cards, etc... And leave the ICE game behind.