I think they are extreme. You only wipe down what your hand touches or your sweat touches. So if you lie down on a padded bench or seat, you wipe that down. Same with handrails and the part of the screen you touch.
Some gyms provide cleaning spray and paper towels, which are better than the hand wipes which are alcohol-based. A lot of gyms use "Simple Green" or something safe which is good for wiping up sweat and general dirt. I don't think alcohol is good for the padding. The cleaning solution can be sprayed on the benches and handrails, then wiped with a towel. It should NOT be sprayed directly on anything with electronics in it - for example, the heart rate sensors on a treadmill. The liquid can get inside and short things out, so you spray it on the towel and then wipe down the sensors, the screen, etc.
The only people who should be moving equipment are the employees doing maintenance and overall gym cleaning. Members should not be moving equipment like that. I suppose every month or so they might clean the belt on the treadmill (after all, people do step in stuff outside!) but that's not for members to do.
When in doubt, ask the gym manager. Instructions should be posted anyway, on the door or on the gym floor, about what's expected. Gyms may vary a little in what they recommend, in part based on the manager's preferences and in part based on the equipment manufacturers' recommendations.