This is a really easy question to answer; Does God throw people into hell? Yes or no?
The answer is yes. Observe:
Rev 20:14-15 Then Death and Hades were thrown into the lake of fire. This is the second death, the lake of fire. Anyone whose name was not found written in the book of life was thrown into the lake of fire.
Seems pretty simple no? Why make a big deal out of this? There are no negative implications for God throwing people into hell, as doing so is merely God being just, which he is.
Trying to say "Well, God doesn't throw people into hell, but rather, they throw themselves there!" makes no sense to me and seems to be a pointless theodicy. We don't need to "get God off the hook" or make him appear "nicer". There is nothing wrong with the idea or concept that God dishes out justice and punishment. He is a consuming fire, after all.