You do realize that having direct democracy would be the same thing as this. So basically everyone can vote and introduce bills except for the Governor and it basically abolishes the legislature, there is a legislature but everyone (except for the Governor) is in it.
Well yes, but this is a vast change from what we have currently. A legislature of over 100 people is different from a legislature that is at most 7 (and usually less), at least from a logistical standpoint of the number of votes the speaker must validate and count.
There would also be questions about how to manage the queue - it's impractical to have 100 slots or something. Even if we have a rule that states only 1 bill per citizen at a time, or 1 bill per citizen per fortnight or something, it could still be gamed (perhaps according to party leadership direction) by a dozen or two citizens to lock anyone else out of it, eventually resulting in a system where there is an effective unelected legislature of those who introduce bills - yes everything would go to "referendum", but a small elite unelected group would decide what the referendums are. One potentially good answer to this concern is establishing committees like they have in RL Congress - everyone can introduce bills, but a select group of members who understand x issue area decide what receives full consideration with respect to that issue. I would carry over the Consensus Calendar portion as well - If you demonstrate broad support somehow, you bypass the committee process. However, this would require having a set of Lincolnities particularly concerned about health care, another particularly concerned about taxes, etc. and I'm not sure if we have that, and having people willing to be committee chairs also seems to be a challenge.
Further, as such a legislature would include zombies, I do have some concerns about party leaders mass pming people on key legislative votes. This could cause an almost endless campaign situation which would only further polarize the game and potentially lead to long term burnout.
I'm not currently ready to vote Yes on this, but I think the debate is worth having and if we can settle some of the logistics ahead of time I could be convinced to pass this.