I agree with LimeGreenTea, you are not crazy. There are a lot of phobias out there and it is really normal to be scared of thunderstorms and lighting. I understand that this must be really difficult for you to live with though. Especially having to constantly check the weather.
I have a phobia of cockroaches. I hate them and I used to be fanatic about using bug barrier spray and cockroach baits. If I see one I freak out completely. I couldn't leave any food out or any crumbs around because it might attract them. I know they can't actually hurt me, but it doesn't matter to my brain!
I found once I started on my anxiety medication (which I am prescribed for a long term anxiety disorder) I stopped focusing on my fear so much and stopped worrying about it. I still get scared if I see one, but I don't worry about them if I can't see them.
Therapy can be really useful, but I understand it can be difficult because you have to talk about your phobia which can be hard. Have you tried talking to a health professional about your phobia before?
Kind thoughts, Jess