Is the plexiglass like 1/32 thick? As in very thin.
it's 1/31, actually. I know because I cut a small portion of it off and measured its depth with my precision ruler that I keep near my arcade sticks

srsly, it's somewhere between 1/32 and 1/16 I guess 

Can someone recommend me a Stick for USF4 on PS4? Just downloaded the game last night and the controller is wrecking my hands.
Not looking for a crazy expensive stick. Something decent that does the job, preferably with 8 face buttons.
A dollar figure would be easier to work with but here you go:
Bad timing, pal. Hori has had small, light sticks for $60 that are about 80% as good as the best sticks out there for years, but so far, they are still only available for PS3, not PS4. Very odd!
The cheapest after that are Hori's HRAP for $150, which have excellent sticks/buttons/ergonomics but are not heavy enough to be lap-stable. I recommend them for places where they will be velcroed or screwed on (they have both options available!)
Next come the madcatz TE at $200. They're great (except the TE2 has some painful bezel and loose plexi issues).
Then finally the Hori Viewlix at $299. Obviously, it's awesome, but it's not very portable because of the size.
They are ALL 8-face buttons, so that's no issue, but there is just no way of buying a cheap, quality stick nowadays. Both Hori and Madcatz apparently colluded to eliminate their low-cost options entirely and play exclusively in the $150-$300 range.
Pretty ludicrous prices if you ask me, but there ya have it. You're sort of fucked

Your cheapest valid option, if you already have a PS3/360 stick, is to buy a titan one adapter for $80 and play using that, but it's an inconvenience to need an adapter.