After the regular season the Monday is reserved for any tie breaking scenarios. Wild card game is Tuesday. Wednesday is an off day and the play-offs start the Thursday.Although I agree with your concept, in terms making a fair format for making the actual playoffs, the problem is how deep the playoffs/WS extend into late October. The WS is the ultimate and deciding it by who plays best in 40 degree or colder weather does not seem appropriate. Extending the preliminary series makes that more of a likelihood.
Why not push the first game of the divisional series to the Friday, and use the Tues, Wed & Thurs as a 2 out of 3 wild card round? They can even eliminate one of the off days in the divisional round and they will be back on the current schedule. Most teams are use to playing 6 out 7 or 13 out 14 days in a row so this should not cause any undue hardship on the players.
I do realize that TV is driving the schedule but the first round in baseball is regional, so the national coverage is not as important.
Also I hate it that baseball has lower market teams play during the day on a weekday to appease the television folks. This sucks as many fans cannot take the day off to watch their team. Baseball really needs to address that issue. Hockey and basketball will have play-off games on at the same time.