I personally would not try ripping arches "freehand" on the bandsaw. Way too much chance IMO of the blade grabbing the wood and sucking everything out of your hands...in the twinkling of an eye. Hopefully, that wouldn't include your pinkies, but one never knows. Might work *if* you used the female form as a guide/slide. Don't know, but makes me kinda nervous. Proceed with caution, eh?
If you keep your lams in the order they came out of the "mother-board"...they may not need any planing before glue-up. Depends upon the blade you're running, how much wobble/run-out in that blade/arbor, etc. Hypothetically...each one should mirror its neighbor. Sometimes this works out, sometimes not. Depends.
I plane stuff that thin frequently, but..............this requires very sharp knives and taking very thin slices. (1/64" or so). Pressure bar/chipbreaker and outfeed rolers MUST also be properly adjusted. The biggest potential problem here is that when the lead edge of the lam hits the knives........the rotary cutting action will be trying to lift it off the bed and up into those knives. 1/8" wood doesn't offer much resistance to these forces. Therefore.......unless the knives are sharp, the slice thin, everything adjusted to tight tolerances, etc...it could well succeed in eating the lam. If/when this happens, you won't be a happy camper. A properly adjusted machine (with all the necessary "hold-down" devices in the proper locations) should do 1/8" without any problems. Or at least my Powermatic does.....and without any lead or trailing snipe, too.
If your lams currently have a bow to them.....make sure you feed them so the concave side is down. If you feed them the other way around...odds are they are more apt to get sucked up onto the knives.
Some folks will clamp a piece of ply or similar to the bed to keep the kinves farther from the metal bed......in the event of misadjusting the target thickness while turning the crank. It's not a bad idea, but will require that you "re-zero" your depth gauge. No big deal.
Do some trial runs with lams cut from cheap wood to get things well adjusted before you dive into the real deal.
If you can't get your machine adjusted to do this reliably without eating the trial lams, we can discuss other methods to help hold down the lead and trailing edges of those lams........if someone hasn't/doesn't post "alter-methods".
Gotta git. Much awaits me.