I dont know about the CEO of IBM, She is a woman not a man wearing jeans, but there are plenty of photos of Steve Jobs (Apple) and Bill Gates (Microsoft) wearing jeans. There are also plenty of pictures of both George Bush and Barack Obama wearing Jeans.
Mark Zuckerberg of Facebook is famous for wearing hoodies
But the reality is its not a White shirt and suit or jeans, there is an in between, Most men today wear Khakis (I think thats what its called). You need only go into Macys and see what I mean, Also most men wear Polo or Ralph lauren type shirts. I am not sure what they are called, but they have sleeves and collars but are certainly not “white” It is not assur to do so.
Finally I might suggest moving from your community. A “torah” community that tells Lashon Horah about its residents because they dont follow their exact Hashkafa is no torah community. You can debate about Hashkafa, but Lashon Horah is an AVERIRAH M’Doraisa.
Are these values you want to live with?