No, don't use base cleaner, they really aren't worth it for considering the effects it has on the base overall. The citrus based products are slightly better than some of the other base cleaners on the market, however I still wouldn't reccomend using either. Just hot scrape with a cheap wax, and you should be good.
If you're unsure about waxing skis, just take them to a shop, explain the situation, and I'm sure they'd be happy to help you out.
Check my blog for updates and reviews: http://aslansskiblog.blogspot.co.uk/
Joey -Formerly *III.JVD.III*
I post from mobile the majority of the time, so if the above is incomprehensible, I apologize.