Sure, their history could be considered our equal, but certainly not superior in terms of history. We've won 8 more league titles in a historically superior league (33 titles to 25, plus Serie A has been UEFA top league in coefficients for 13 years compared to Bundesliga for 7 years)... They've won 3 more CL titles (5 to 2). But we've won more UEFA competitions total... 11 to 10.
So... looking at it, I'd actually say Juventus history over Bayern history by a slight amount. And that's with calciopoli nearly destroying the club and tearing apart a team that was a top 2/3 club in football in 05/06. I'd say it's incredibly likely we'd have a 3rd CL if not for calciopoli... But regardless, we trump that with 8 more league titles, and more UEFA competition wins total. Not to mention cup competitions have an element of luck to them, being a one-off competition type of thing, and Juve have featured in 8 CL finals, Bayern 10, which shows similar CL success. If you look at top club in the world according to UEFA coefficient rankings which shows how consistently a club has been at the very top of the football world, Juve has finished 7 years as Number 1 in the world. Bayern Munich has finished 2 years as number 1 in the world.
Any Juve fan who would claim Bayern's history is superior to Juve is just being ridiculous in the name of objectivity and stepping way over the line in the other direction. It's pretty damn obvious that their is absolutely no argument for that.