No, you're not alone. Tennant and Smith both seem more like self-parody (although there's some precedent for that in Doctor Who).
Personally I feel like the 2005 series started out with a heavy dose of self-parody (the initial Auton story, then the Earth's destruction story right after were both loaded with this - "New Earth" and the space station from "The Long Game" were pretty heavily loaded with this as well), and it's mostly just in the Matt Smith years that it's emerged from that. Some of that in the Tennant years was just holdovers from Eccleston (like "New Earth", Cassandra as the ultimate expression of plastic surgery gone too far, the Slitheen and Captain Jack, etc.) but there was a lot of "wow that's a goofy alien name"-type stuff and "veiled commentary on a contemporary thing" stuff (Adipose, for instance)
For sure there's a lot of the Eccleston and Tennant years that I enjoyed quite a lot, but to me season 5-6 with Smith is the best the new show's been. I think the show grew up a bit at that point, and developed into a better show with less reliance upon parody.