Is it supposed to be like this? Am I missing something? Summoner DPS is not good.

[Raldo]

I'm pretty much getting my butt kicked if I try to take more than one bad guy at my lvl. Even one bad guy can beat on me pretty good.
I pretty much have to use my mount for a tank or it gets a little too close for comfort sometimes.

This sounds like you're complaining about your suvivability, not your DPS. DPS classes aren't built to tank things, so yeah it's not surprising if you have some trouble surviving pulling multiple things.

However, focusing strictly on DPS capability...

Based on your Lodestone snapshot, your problem may be that your weapon (i90) is absolute garbage for your level.

To elaborate...
i90 book: DMG 69, INT 31
Lv54 HQ crafted book (i133): DMG 82, INT 56

"Crafted? But that's expensive!" Some alternate free options...
You can get an i130 book by spending Poetics in Mor Dhona.
You can get an i130 book by spending Grand Company seals (assuming you meet/exceed whatever GC rank is required).

DMG is a HUGE FACTOR in how much damage you do, and your main stat (INT) is nothing to scoff at either. Weapon should always be your top priority for upgrade, and you're waaaay behind.