I think plenty of people take this route. There are stories from SV about middle-aged men who undertake cosmetic surgery to look younger, so it's not a stretch that some people would do what you're saying.
However, what you're suggesting isn't a solution. It's not even a band-aid. Imagine living your days worrying about whether or not you'd be exposed for being older than what you are. That would be maddening.
I'm only 28, but I fear what the career landscape will look like when I hit mid-life as well. My inclination is that the field has grown so much we're looking at peak-agism right now. Although I've never seen it in person, it makes me wonder when so many teams don't look like they have anyone over 40.