There are already party organizations across the nation working to get changes to our election laws in a variety of ways.
The proposal being talked about here came up somewhat unexpectedly only because Congress is working on saving us from the Corona Virus, so there's a chance to pack the next bill with Pelosi-type additions that have nothing to do with the Virus but might be approved because the rest of the bill would seem like an emergency measure that cannot wait.
Some of these that have already seen action at the state level include same-day registration (verifying the identity of the stranger would be very difficult to do in all cases), vote harvesting by which anyone can take an absentee ballot and go out to find someone in a nursing home or etc. to fill it out--or do it for them--and bring it back up to three days AFTER election day and have it counted. This gimmick works to change the outcome of elections and for obvious reasons.
Also, there is the "top two" voting system in use in California and Washington by which the top two finishers in the primary election go into the general election regardless of party. This prevents a major party, in some areas, from even having a candidate on the ballot in November.
This is only part of the answer to your question, but it should give you some insight into the matter.