Joined: Jan 2010
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From: Northern California
Bikes: Cheltenham-Pedersen racer, Boulder F/S Paris-Roubaix, Varsity racer, '52 Christophe, '62 Continental, '92 Merckx, '75 Limongi, '76 Presto, '72 Gitane SC, '71 Schwinn SS, etc.
I don't think you'll find any 22.2mm cross levers. That bar diameter suggests it's a steel bar, (could be steel with an alloy sleeve). What brand is the bar?
Normally the CX levers clamp to the bigger, sleeved portion, which is likely 25.4mm or 26.0mm. Mounting the CX levers outside of the sleeve requires a pretty wide bar.
Sorry to say, most CX levers are made to fit 23.8, 26.0 or 31.8mm dia only.
The bigger two sizes often come with shims for 23.8mm, but you'd need a wide bar.