Lee simply isn't "slimy." It doesn't fit the character we've seen, overall.
- In the first episode, he was the only one who refused to sit around and diss Summer behind her back, when it would have been very easy and even profitable to do so. He simply felt it was demeaning to do so, despite the fact that the whole group was in on it. How "unpolitical" can you get?
- Same episode, Tarek indirectly threatened Lee with the boardroom if he said anything negative about Tarek's performance; Lee refused to be the politician, politely gave his opinion of Tarek's work when Trump asked... and Tarek pulled him into the boardroom, where Lee was quickly exonerated and Tarek mocked by Trump. Again, still not a great "political" move by Lee.
- As far as this goes, I found Lee's answer to the "religion" card pretty mature. I'm not sure how you could BETTER resolve the issue. He felt terrible about not being with the team, yet he felt that he had to honor God / his faith by not working those days, and he even said he was willing to be fired because of it, if the team decided it was the best thing to do. He refused to compromise his spirituality, but he also refused to make others put up with it and instead threw himself on their mercy, and was willing to abide by their decision.
Throughout the show, Lee has been pretty laid-back, soft-spoken, unoffensive, and non-divisive. The guy's 22. He's the youngest candidate, one of the youngest ever. He shows a cool and gentle candor that candidates ten years his senior haven't shown.
I think Trump's comments about Lee being a "politician" weren't supposed to connotate the slimy sort. I'd say Lee is diplomatic, but I think he's been anything BUT Machiavellan in his approach.
Anyway, you might still disagree with me, and I might have not made the same choices Lee did if I had been in his shoes, but I think he has established his moral quality to be higher than some people are giving him credit for.