Should I meet my birth father?

So, my mom apparently got pregnant only a couple months after dating this guy when she was 21 (he was a bit older and already had two young kids). He was there for my birth (but no one else from his side of the family saw me), but my mom says he left when I was around 3 months old.

My mother got married when I was 5. The man she married adopted me so we have could have the same last name. I was around 7 or 8 at that time.

However, my mom made me believe my step-dad was my only father. Before I was adopted, my mom told me that my last name was her maiden name, but my birth certificate says I was born with my fathers last name. She trashed all of my baby pictures with my father, I will never get to see them. I was 12 years old and found my birth certificate for the first time, and I brought it to my mom to ask why did it list another father and a different last name? I can’t even remember what she told me. She refuses to talk about him now, acts like he doesn’t exist.

A couple years ago, he finally made a Facebook account. We live in the same small town in Missouri. I sent him a friend request & he accepted it. I finally got to see pictures of him for the first time. I messaged him asking if he knew who I was, and it showed that he saw it but I never heard back. I messaged him again saying I didn’t mean any trouble (I was pregnant at the time, I didn’t want him to think I was trying to get something from him). He never responded.

In January early this year, I saw him for the first time at our local tire repair shop (I am now 24). I could tell that he recognized me & my one year old daughter but he never said anything. He tried saying hi to my daughter and made her laugh. My step father was with us at the time, so I’m sure he felt SO AWKWARD. We never spoke.

I messaged him for the last time telling him I’m not sure what happened between my mom and him but that I always wished my father was in my life, blah blah blah. He saw it & never responded. I did a dna test on ancestry.com and I know 100% now that he is my real father. From the dna test I found out that my mom’s brother’s wife is actually one of my birth fathers cousins. She told me that my uncle works with my birth father & sees him frequently. She asked me if I would want my uncle to ask my birth father to see if he would want to meet me. I’m not even sure if he would even say yes. If he does, should I try to meet him?

He owns a construction business, very well known in my town, is currently married to another woman and has two young adult kids with her. I have also heard that he is an alcoholic (his father was too). My mom has no idea that I have tried to talk to him, or that my aunt offered for me to meet me, and I will never tell her.