I would say NO, don't mix them. That is likely to be a headache and it will make it hard to interpret your data. I have been using Tradervue for quite a while and have more than one account for different purposes: one for live trading, one for sim, and one for occasional swing trades. Also, with Tradervue you can track your performance over months and years and sim trades would just mess that up.
Even when keeping a journal in OneNote or a similar program, I think it makes sense to keep them separate because live and sim are different experiences and can be quite different psychologically.