IMHO, the short answer is that it would take so much cutting and sanding to remove all of the non-historical, "fantasy" details on these figures that it would seem a much better use of your time to trade or sell them and use the proceeds to buy historically faithful figures.
The weapon itself is a halberd; infantry so equipped would be typical of Western Europe in the later 14th or 15th century. From the top, here's what a historic make-over would entail:
Helmet: This visorless sallet would require removal of the spike, raised center ridge, and cheekpieces (they're not shaped into a proper gorget or bevor). The leather/cloth drapery hanging from the helmet itself looks vaguely Middle-Eastern and doesn't go with Western Europe. The coif needs to be leather or (better) mail; "studded" leather as shown on this figure is only a thing in Hollywood and has no historical validity.
Torso: I don't see mail at all under the surcoat. Nothing too wrong with the surcoat's body although the sleeves are weird. The shoulder guard and strange circular badge near it are ahistorical but could perhaps be left alone. A bigger problem is the "Temple of the Moon" belt buckle, no historical equivalent and unfortunately doesn't look easy to fix.
Arms: The grooved padding here looks something like cricket pads; it could be corrected by cutting cross-grooves in the padded sleeves to make them look like actual gambeson.
Legs: Can't really do the cross-groove fix for these, as padded-armor breeches were definitely not a thing. With a lot of cutting and sanding you could reduce them down to proper woolen breeches. The poleyns (knee guards) are OK. On the shins, one would have to get rid of the studs and file and shape to proper greaves.
Weapons: The halberd is OK although the spearpoint should be a bit longer. What does have to go are the leather wrappings on the shaft. The shortsword is fine. The big cross-strap over the left shoulder looks like it serves no purpose – perhaps a bag could be added although medieval warriors are almost never shown in period art carrying any of their marching kit into action.
I'm sorry to be such a spoil-sport, but your question seemed genuine and deserved a honest answer. The figure sculptor did a fine job of creating fantasy troops and deserves credit for not just copying historical models.