To my delight, I found out that K-Meleon supports PKCS11, specifically, the Estonian ID-card (national smart card used by for personal authentication somewhat like a passport), without any problems. Great job!
Installing it for K-Meleon is a bit tricky but not too difficult. It can be done from this page:
http://ideelabor.ee/opensource/wiki/IdKaardiTarkvara/VeebisAutentimineMozillaga
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