While I'm not saying you're wrong, I never understand when people complain that the sequel is too cheesy. To me it's no more or less ridiculous than the first film. I mean, a man walks around with a minigun and Arnie nails a guy to a post with a machete while quipping, "Stick around!" I don't get how anything in Predator 2 is significantly dumber or cheesier than that.
They both have their fair share of silly moments and serious moments. Maybe the first just gets a pass because it's Arnie and that's what people expect with him, I dunno.