I just discovered that site while looking into this question as well. It seems really useful.
Here are two charts that backup your point further.
Education since 1900: http://www.usgovernmentspending.com/spending_chart_1900_2015...
Defense since 1792: http://www.usgovernmentspending.com/spending_chart_1792_2015...
In particular, it is worth noting how low military spending was before WWII. I would be very interested to find similar charts for all world powers going back to ancient times, if anyone can help.