Then configure your miners to not accept these transactions.
Essentially the blockchain is exactly this: A way to record information in an unforgeable way, for a fee to the miner. Bitcoin works, and the only way it can work, is by being a system that behaves in a desired way when each player maximizes their own benefit. (To a small extent this can be affected in a centralized fashion because the community can develop the reference implementation to a desired direction, but that may or may not turn to be anathema and may or may not be a powerful enough tool.)
True, blockchain bloat causes problems, and it's a limited resource. The bitcoin solution is to sell the space to the highest bidder, because generally that maximizes the seller's benefit. In a sense, someone saying "that's not what the blockchain is for" is very similar to someone complaining that people are using lithium to make these stupid batteries, driving its price up, and "that's not what lithium is for".
Whether Bitcoin can survive all the technical challenges in the long term is not at all obvious. For all we know, it might be that the entire model is game-theoretically self-destructive if analyzed thoroughly enough. In fact, it has provided quite a few surprises where the incentives have turned out to be something different than anticipated, causing weird scenarios where e.g. in some situations it's advantageous for a miner to not immediately report a found block. So far none of these have been such that they would cause a death spiral, but that's far from a given. (Arvind Narayanan's blog posts on the topic are quite insightful; you might want to start from https://freedom-to-tinker.com/...).