Some of the legit scientists who work at such institutes/departments say that finding alien life will change humanities outlook on life and ourselves.
Did not Steven Hawkins say that this was a really bad idea?
People themselves have to make the world a better place in some fundamental way.
Which is happening, but it's happening incrementally over time and in a patchwork of regions, not globally at the same time.
Also, a LOT of consistant funding for places lots of people do not like to see our precious money go
People don't like public taxpayer money going there, private funding is fine. One of the problems in terms of public perceptions is money for physics come out of the same public budget as studying the sex life of the yellow banana slug. People can't see any real purpose in sending a probe to Pluto, or figuring out why the universe expanses at it current rate, the information obtained is simply too esoteric. Medical research and new advancements in metallurgy and chemistry ... this they can understand, this will benefit them and their children.
The Hadron collider, not so much.
It's popular to say people just need to give "just a little bit more," except that
a little bit more was reached and passed decades ago.