Kerbal Konstructs provides editing tools for adding static objects into KSP, including new launch sites. It also presents a means to select an alternative site to launch from in the VAB and SPH, integration of new launch sites into a strategy feature in Career Mode, 'working' facilities such as fuel tanks and support for air-racing.
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Like the mod and want to contribute to the author's caffeine addiction?
The statics in the pack aren't configured for KK correctly then.
EDIT - There's a sub-folder in that zip called game data. Can I assume you actually extracted itstheLittleThings from that in to GameData?
I've had a quick look at the cfgs and they seem fine at a glance, which makes me wonder whether you went and dumped game data into GameData. Because yes that'd break KK.
Regardless, you need to talk to the team that made It's the Little Things.