Well, there are a lot of statistics available regarding WW II, and the Tsar Bomb has simple math associated with it.
First, the Tsar Bomb: As a nuclear weapon, its yield is measured in megatons. 1 megaton is equal to one million tons of TNT. The Tsar bomb yield was 57 Mt.
A lot of statistics have been collected about WW II. However it doesn't seem to be collected into one place. The allies (US, England, and Russia) dropped 3.4 million Tons. I have not been able to find any specific statistics of bombing by the Axis powers, however their bombing campaigns were nowhere near as extensive as those of the allies. Just adding up the referenced Axis bombing in this Wikipedia article, it totals well below 1 megaton (heck, it's even below 100,000 tons).
Therefore, if you take a factor of 10 of 3.5 million tons (or even assume Wikipedia is off by a factor of 10 on the Axis bombing), you get about 35 Mt (or 44 Mt), which is less than 57 Mt.
I would contend that even the explosive contained in bullets and shells still wouldn't get to anywhere near the amount of a nuclear device.