Thanks Junkyard Dog for the commercial grade vinyl top adhesive and application advice.
If I can remember correctly, the steel backup plates that the running board mats are attached to were quite rusty so I cleaned them and then primed / painted to hopefully stop any further rusting before using the contact cement. I will redo per your advice.
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1934 Chevy 1 1/2 ton Farm Truck
1936 Chevy Master DeLuxe Series FA 5-window coupe
1961 Chevy Series 10 Fleetside
1963 Dodge M37