My bet is that your parts will swap over but best check.
I just measured the id of a few different handlebars that I had in my basement. The road bars measured 20mm. The mountain riser bars that I had varied from about 17mm to about 19mm. I test fit a Suntour barcon and it would fit in the 19mm handlebar but won't go into one that's 18.3mm.
The od's are different too. 22mm for the mountain bars (at the handgrip area) and 24mm for the road bars. I wouldn't bet on the brake levers fitting but these aren't mustache bars so YMMV.
Good luck.