Understanding Parallel RLC circuit
What confused me is the next part, where he says at high frequencies the capacitor is a short, which i understood, but to me that meant the voltage drop happens across the capacitor now, not the inductor, and so Vout gets the voltage drop and you have a high pass filter.


Like brhans says in comments, at high frequencies a capacitor behaves like a short circuit. This means that high frequency currents go through it easily, and very little voltage can be sustained across it.


  Also, I keep thinking that voltage across parallel components is the same, which makes me think the 0 at high frequencies makes sense, yet since the voltage is always across at least one path,


With a parallel connection, the same voltage will be found across all paths. That's what "parallel" means.


  I expect it to be a band stop with purely that logic... I know Im missing some key logic here!


Whether a RLC parallel circuit acts as a band pass or band stop depends how it's connected:







simulate this circuit &ndash; Schematic created using CircuitLab

In the band pass version, at low frequencies, L1 shunts the signal to ground. At high frequencies, C1 shunts the signal to ground. Only near resonance, the admittance of those two parts cancels and (assuming R2 is relatively high-valued), the signal passes through to the load. 

In the band-stop version, at low frequencies the signal passes through L2. At high frequencies the signal passes through C2. Only near resonance, the admittances of these two elements cancel, and (again assuming R3 has high enough value) the signal is blocked from reaching the load.