Fixx and G are dead on. Your best bet is to find someone that planes gelcoat. That is way too much for the old pop and grind. Figure around $2k to strip that bottom. You may be able to get it done for less but it is kind of like painting. If you watch someone that is good with a gun or planer you will think you are getting ripped off. If you don't have experience and try it yourself.....ouch.
Listen to these guys carefully. It needs to be good and dry before anything goes back on.
2001 35 Fountain Lightning w500 EFI's
1973 X-18 - Merc 383 Magnum
1974 Chris Craft Roamer with 1271 TI's