Joining two 1x2 hardwood sticks?

Looking for advise for how to join two 1×2 oak sticks into an “x” shape. Mainly looking for strength & light weight, but secondarily looking nice.

Current plan is to half-lap both sides, plus glue. Then do 1/8” gusset plates over both sides. I need the plates there anyway, so I figure I should use them as well.

Better ideas? Some crazy joint for doing this I never knew of?