Even a multi-cylinder engine has subtle differences between cylinders and is impossible to avoid. They may be very close...but never identical.
Volumetric efficiency varies from cylinder to cylinder.
Absolutely true. However, there are obvious differences between cylinders that share a common crankshaft and cylinders that are joined ("timed") by external devices like chains, gears, jackshafts, and so on.
The latter has more "slop" than the former and in turn offers more opportunity for breakage, wear, catastrophe.
Also, timing matters. Assuming we're talking a pair of single-cylinder, 4-stroke engines, you'd want the combustion stroke to occur directly out of phase, like so:
Engine 1: intake, compression, power, exhaust
Engine 2: power, exhaust, intake, compression
This way you minimize the rattling of the external components that hard-link the individual crankshafts together.
It also allows you to use the jackshaft bearings you normally would because only one engine is applying it's 5HP at a time. If they fire in sync, then you have a pulse of 10 HP every four strokes instead of two closer-spaced 5 HP pulses. You'd have to size everything up accordingly of course.
The above assumes you have a commn jackshaft that ties the engines together, then put your clutch/belt/gears between that jackshaft and the rear axle.
Another option is to clutch each motor individually to a common jackshaft (or live axle if you want less parts and the gear you fit work out to your favor). Doing so allows the engines to fire at random intervals to each other. Obviously with the clutches engaged they'd run at the same RPM however nothing stops both engines from being off from each other which will introduce vibration into the clutches/belts/gears/chains/liveaxle/chassis and your *** ;-) Considering how much lawnmower engines vibrate, I think most of you can imagine how much shaking could occur.
The other concern I would have about clutching each engine separately is what happens if one stalls? Most of the smaller kart and minibike clutches do not seem to "bite" as well going in reverse, even though to the naked eye that's not terribly obvious by design. I *think* this would wear the clutch out on the stalling/problematic engine rather quickly.
The other factor is when your clutches are toast, you have two to replace so your cost doubles. Clutches are more expensive than gears/chains to a common jackshaft, right? I've read your posts and seen the dollars you guys spend on clutches!
A third method would be to clutch each engine to a half-axle thus driving only one wheel. The "hard link" between the engines is the ground, and there usually is enough tire slip even on asphalt this might be the most comfortable way to operate a dual-engine kart, though an engine stall condition might lurch the kart to the side that the engine stalled, as the other wheel will be driving very hard while the other one, well, doesn't. If you have clutches that slip nicely when the axle rotates faster than the engine then this artifact will be minimized.
While not applicable to lawnmower engines, many years ago several friends and I cascaded two Buick V6's in series. We machined a two piece adapter for this. The front half bolted where the flywheel would normally be on the front engine, and the other half bolted to where the main pulley would normally be on the rear engine. The two halves then bolt together.
We made it in two pieces because it allowed the bolts that "join" the two crankshafts to be further away from the centerline which in turn allowed us to get a wrench in there.
Both engines were balanced to "stock" and turned 180 degrees out of phase, so they balance each other. The flywheel on the back was balanced to neutral. And yes, the 6" diameter adapter was balanced to neutral within 1/100th of an ounce.
I've taken apart many vertical mower engines and have pondered the idea of making an adapter that replaces the flywheel on top with something similarly shaped but has a set of concentric bolt holes, for a flange that would bolt on and receive the output shaft of another vertical engine sitting right on top.
"vertical stack".
But I've only pondered it, I've never actually dug far enough into it to see how difficult it would be. If I needed more power, I'd simply buy (new or used) a bigger engine.
That's why Kaptain Krunch and others often mention motorcycle and snowmobile engines - much more power and probably less effort than creating a common jackshaft with two sets of aligned gears and chains, and so on.