If you really want to continue playing with your current character(s), there is
a way to fix it by using the console, it takes some work, but it will fix the
race order for your current playthrough; please keep a backup save handy in
case you make a mistake. It basically involves 4 steps:

Step 1. Stop all racecontroller quests:
open the console and enter the following command:
help racecontroller 4
this should display a list of quests called <racename>RaceController;
for each of those quests enter the following command to stop the quest:
stopquest <racename-racecontroller>
where you replace <racename-racecontroller> with the names of the quests in the
list.

Step 2. Resetting the race lists:
Because the order of the lists is most likely not correct, you will need to
reset the lists; to reset the lists you will need to find out what id the lists
have. This is a bit tricky, since their id is not the same for everyone,
because it is affected by your mod load order.
Enter the following command:
sqv RaceDispatcher
this will output a list of quest script variables, with their ids; look for
PlayableRaceList and PlayableVampireList. Their ids should look like XX000D62
and XX000D63 respectively, where XX is the position of RaceCompatibility.esm
in your load order.
Now enter the following commands, replacing XX with the correct number:
revertformlist XX000D62
revertformlist XX000D63
This will clean out the custom races from the lists so we can start adding them
again in the proper order.

Step 3. Resetting the quests:
For each of the racecontroller quests you stopped in Step 1, now call the
following command, replacing <racename-racecontroller> with the actual names:
resetquest <racename-racecontroller>

Step 4. Starting the quests:
For each of the racecontroller quests you stopped in Step 1, now call the
following command, replacing <racename-racecontroller> with the actual names:
startquest <racename-racecontroller>

Done! You should now have a correctly ordered pair of lists. So when you are
now turned into a vampire you don't end up as a completely different race.
If you already were turned into a vampire and you fear you were turned into
the wrong race, you can check with the function "GetPCIsRace <racename>" to
see what race you are and use "player.setrace <racename>" to correct it if
you were not the correct race. So for example to see if my character was an
Ashen vampire I would use:
GetPCIsRace OraezeRaceVampire
This command will return 1 if my character was indeed a vampire of this race
and 0 if my character was another race. Note that "OraezeRaceVampire" is the
editor name of the Ashen vampire race in the Creation Kit. That is the name
you need to use.