The math there is solid, although if you wanted to get really obsessive the efficiency you get with gasoline varies with speed (increases at speeds above 50mph when the mechanical transmission kicks in), so the exact numbers would vary depending on what kind of driving you were going to be doing next. The OCD engineer in me has already been tempted to make a spreadsheet with efficiency curves to do the math precisely, but the lazy half has thus far resisted the urge.
Also, max throughput on a 30A, 240V charger is actually closer to 6.9kW (I happen to have just measured). I believe Level 2 can go down to at least 208V so if it's current limited (mine pegs at 29A normally) it might vary depending on the charger.
Is that in an area with really impacted parking? I could get a charger being that expensive if you're basically also being charged for the parking space (actually, $6/hr is pretty cheap depending on the city), but it seems like a spectacular ripoff otherwise.
Most Chargepoint stations in my area charge a connect fee of around 50 cents plus some amount per kWh (usually around 18 cents), so the exact breakeven point would depend on how far discharged the battery pack was.