Of course, I'm not the only person to have thought of this. In 1994 the German automotive tuning company Irmscher unveiled a hybrid-electric car at the Geneva Motor Show. The potential return of a two-stroke car to the market attracted the interest of the Auto-Union Veteranen Club, who featured a write up by Hubert Bertha in their October 1994 magazine. Below is my translation of the original German article into English. The original magazine can be found here: https://auvc-archive.blogspot.com/2020/04/auvc-nachrichten-vol-78-october-1994.html
"Two new two-stoke engine cars were presented at this year's Geneva Motor Show. The tuning company Irmscher developed the so-called hybrid car. The small petrol engine is used as a supplement to charge the electric generator which drives two asynchronous electric motors.
The petrol engine, a 90 cubic centimetre two-stroke, operates via an injection system with a catalytic converter. This environmentally friendly engine consumes only one litre per 100 kilometres.
The H 301 was developed by the Essen-based Finna Esoro in Switzerland, and is equipped with a parallel drive. Both motors, the electric drive and the petrol engine, are used alternatively depending on driving conditions. The petrol engine is also a modern two-stroke engine.
Both vehicles are still prototypes. lrmscher and Esoro are waiting for manufacturers to take over series production."Neither the Irmscher or Esoro cars ever made it into production. Irmscher continue to customize electric vehicles and offer their own electric sportscar - https://www.irmscher.com/
Esoro appears to still exist too - http://www.esoro.ch/english/content/kernk/nhanst/h301/h.htm