Your statistics don't mean anything when the data is not representative of the population. In other words, Bregman's performance over the past 3 years can not be compared with other MLB players.
Sure it can. Just because part of a data set is contaminated doesn't mean the whole thing is junk, as long as you can reliably segment out the junk. Fortunately that's doable here. Just look only at his road games. In 2019, he hit .315 with a 1.109 OPS and 25 homers in 76 road games. That's an OPS+ OF 194.
That's fine. Many MVP voters don't vote for pitchers under any circumstance and are not that reliable anyway. I'm not at all convinced WAR properly values starting pitchers vs position players, mostly because I don't think it properly accounts for who the realistic replacement is and the rarity of a true ace pitcher.
This might not be a discussion for this thread, but it's an interesting one. I agree with you partially - replacement level is crap. I actually think it's off by more for position players than pitchers, though. The simple reason for that is that replacement level pitchers get yanked early, and some of their damage is limited by having some of their innings taken by above-replacement relievers. Measuring replacement level for a pitcher is extremely challenging when the use of true AAAA pitchers is fundamentally different than that of an average MLB pitcher. That's not the same for position players: if you're running Wilmer Difo out there, he's out there killing you all day every day.
The valuation of truly elite players is also an interesting point. My instinct is to side with the status quo as to the regular season, but it's with a huge caveat: the equation completely flips when you get to the playoffs because ace pitchers are starting 25% (or even higher) of games rather than 20. By the way, the reason for siding with the status quo in the regular season is essentially the same as above: the regression to the mean caused by relief pitchers in the innings the starters don't pitch. That's not truly a WAR point, as WAR is a counting stat in a sense - more good innings, higher WAR. But it's an overall-value issue, which is really what the MVP award is about. But like you, I don't really trust WAR for pitchers - I also hate FIP, but that's another discussion.
