It is not uncommon to find people working in the mental health field are sometimes desensitized to such remarks (to the quotidian person, a declaration of suicidal ideation is quite dramatic, but to someone who deals with them on a regular basis, it's not exactly the same thing). It still doesn't make it any less terrible, however, and justifies nothing (just trying to see thing from their PoV).
If you seriously feel as though you may be a threat to yourself (and are in the US, IDK how anywhere else works), skip the regular psychs and go directly to the ER. There, they are legally required to hold you (whether voluntarily or involuntarily--in your case it'd be self-referred so perhaps voluntary) until you are seen/evaluated by one of their psychiatrists, after which point if he deems you to be a threat to yourself, you can be kept (voluntarily or involuntarily) until they see you becoming better adjusted (in theory, mind you, people are people so experiences vary).
If he feels you are not a threat to yourself/others/etc., he'll sign discharge papers and you'll be on your way (having a ride or money for a cab helps). My mother tried to place me in one such facility to facilitate certain financial ploys of hers which required my hospitalization. Went entirely peacefully, though I was scared AF and cried a lot at night when my roommate fell asleep. I was there for a little under two days (arriving at 2am), psych (quite intelligent) saw me and decided I didn't belong there on simple basis of my poor academic performance (I was in school that year). I got discharged, the end.