Nut job is a nut job.
"On 14 May 2010, Stephen Timms was approached by 21-year-old female Islamist extremist Roshonara Choudhry, during a constituency surgery at the Beckton Globe Library in Kingsford Way, Beckton, East London. Choudhry stabbed Timms twice in the abdomen with a 15 cm (6-inch) kitchen knife, before being disarmed. She stated that she had been influenced by watching sermons of Anwar al-Awlaki, a leader of al-Qaeda in the Arabian Peninsula, and that her attack was to punish Timms for voting for the Iraq War, and seek revenge for the Iraqi people."
https://www.wikiwand.com/en/Stephen_Timms
The attempted murder of Timms was based on his vote for the War in Iraqi; of course that does not mean those against the War in Iraqi are of the same disposition as Roshonara Choudhry. Far from it in fact.
The common denominator between Roshonara Choudhry and Thomas Mair is mental instability. Reading beyond that would be to slant things with a particular agenda I think.