Yes, you're describing a real trend that occurs in all political identities (over-perception of more extreme opinions). However, in terms of degrees:
>The vast majority of conservatives do not intrinsically hate the LGBTQ/immigrant/welfare
I consider myself anti-immigration (in some contexts). I have wonderful conservative friends. And yet, that said: It's plainly incorrect to use the term "vast majority" here. It's a believable opinion if you leave it at just immigrants, perhaps.
>The vast majority of conservatives do not intrinsically hate the LGBTQ/immigrant/welfare
I consider myself anti-immigration (in some contexts). I have wonderful conservative friends. And yet, that said: It's plainly incorrect to use the term "vast majority" here. It's a believable opinion if you leave it at just immigrants, perhaps.