"Catholic Guilt" is weird -- you're (apparently) just as much a sinner for thinking something as doing it ... but then again, I'm not exactly a shining example of being a "pious" person...
Even with that in mind, it's not the same thing. Imagining the act of adultery with someone is seen as just as bad as the actual act itself, in what you're describing. But, how can the act of being a fictional Wizard with telekinesis be just as bad as non-existent actual telekinetic wizardry? The magic being talked about in Biblical text is generally the "I'm affiliated with Satan and/or at the very least being blasphemous by claiming to have powers beyond a mortal, and therefore challenging the one true God, himself."
The other reason I object to the word "godlike" is that it is unspecific. With the fictional examination of the role that race plays it is important to recognize that anyone who uses race as a way to identify, is doing it to latch on to a personal sence of controle. So go all the way with it. "Godlike" offers space for that character to be like other things that divine creation designs in. Where as generalization terms protect individuals from inconvenient details that inspire things like emotional involvement. As a gamer I want to control. As a trusting disbeliever, I want to see how what the character actually is, fits into a mould and transcends it through context. It's an adventure.
I hope this is being received as helpful rather than abrasive.
I don't think it's abrasive at all. And I understand what you're getting at, methinks. But, I'm just not sure the term is being used quite in the way you're getting at. You're looking it from the context of our real-life society, etc., when really, it's just a piece of lore within the game world. The game world has gods, in its reality, and these "godlike" are either actually influenced/affected in some manner, directly, by a god of the game's reality, or at the very least are seen to be, by the people of the world. Thus, they are referred to as "godlike," much like people who live in/near the mountains might be called "mountainfolk." People associate things with traits, and in a world of much more tangible gods, gods would be much more of an associative thing.
Heck, even in reality, we name things after gods. "This military endeavor involves striking ferociously and swiftly from high in the air. Codename: Thor." The only difference is that we know them as mythological, whereas, in the P:E world, they are not.
Also, just for what it's worth, the godlike are a sub-race, and not an actual race. Almost like... albino humans. Many people are albino, but there is not a race of albino people. They're just people, from various different races/ethnicities, who happen to possess a common trait/set of traits. Again, the only difference being that, in the game, the godlike set of traits is "divine" in nature, rather than purely biological/physiological in nature.
It's not that it's impossible or pointless to analyze how this type of thing in a game affects us and our real-life cultures and beliefs (as real-life players of that game). There's nothing at all wrong with that. It's just that I don't think it's directly clashing with any of it. As a work of fiction, it isn't designed to directly challenge reality. The lore of the game exists completely within its own reality bubble, absolutely separate from our own. We just peek into it, with the knowledge that it is not reality. If it has us thinking about aspects of reality, then more power to it.
Basically, if we avoided any game design decisions that were along the lines of why you're suggesting "godlike" might be problematic, we pretty much wouldn't ever make any video games, ever. Or books... or most any works of fiction, for that matter.