#1 Reason for optimism: Atlanta and Washington, the two most recent World Series winners in a 162 game season, were likewise beset by injuries and inconsistent play at this point in the season (they were actually in far worse shape than we currently are) only to turn around in August and September and ride that wave to a championship.
As far as the current state of the team, there is no doubt that they are in a rough patch. But it is way too early and the Brewers have too much star power on the pitching side of things to throw in the towel at this point in the season. Could they continue to collapse and find themselves in clear selling territory by the deadline? Sure. But, even then, the last thing I would do is follow your suggestion and trade guys like Burnes/Woodruff. That would basically mean that we're conceding the next few years, in addition to this season. The NL Central is too weak in my opinion for us to do something along those lines.
As a result, I think we just simply have to wait out our current injury issues and then potentially reevaluate around the deadline. Woodruff coming back within the next week or so could be huge. Also, guys like Gott coming back to bolster our bullpen depth will be big as well. On the offensive side of the equation, there are a number of key guys (Yelich, McCutchen, etc.) who appear to be coming out of prolonged slumps, in addition to guys like Adames and Renfroe who are starting to get back in the swing of things after returning from injury. Overall, this is still the same team that won 95 games last year, and none of our injured players have been ruled out for the rest of the season.
Finally, remember 2019? That team hovered around .500 the whole year and then picked it up in September to claim a wild card birth. Even without superhero Yelich, I still think they would've gone far in the playoffs had Hader not blown that save in Washington with how well they were playing. Really, it's just about getting to the playoffs....