Lets be intellectually honest here - He did not vote to "overturn" the election. He did vote against the certification of several states - but none of those votes had support to actually overturn those certified results. It was largely a symbolic gesture. The only difference between this election, and 2016 - where democrats objected to the results from several states, was that in 2020, the losing party had a willing accomplice in the Senate. (A formal objection required an objector from each house of congress).
And, his "votes" had nothing to do with January 6 - since they came during, and after, the actual incursion.
Now, if you want to argue that he encouraged the big lie, on the flimsiest of "evidence" then I agree. He played a role in things getting out of hand.
The two who are probably most culpable are Cruz and Hawley - who both unnecessarily extended the proceedings by objecting, with a member of the House. (Never mind, Hawley's little fist salute)