If you have the money and don't mind it wouldn't be bad, but normally they are offered in the same gyms. Like I do BJJ gi and nogi along with MMA classes at the same gym. They also offer Muay Thai.
And wrestling in high school will be hugely beneficial to you.
Also it would be easier for the gym to judge how you are progressing and when you are ready to compete if you were at the same gym.
Yeah doing that all in one gym isn't a possibility. all the gyms around me don't offer both BJJ and MT
The gym I'm planning on joining offers -
Muah thai kick boxing
The link to there gym is in the first post
But the BJJ gym id join is also in the post. Also are these good gyms to join?