Yankees Stadium - D5100 + 55-300mm OK?

Hi there.
I'm going to NYC and I'll watch a baseball game in loco.

Do you think they will allow me to enter the stadium with my D5100 plus a 55-300 lens?

It is written on the ticket information that professional cameras and long zoom lenses would not be permitted.
But the D5100 and the 55-300mm are consumer products.

Can I presume they are talking about the professional bodies and the professional tele photo lenses that costs $ 5.000 or more and are really really really big, long and large and are used by professional photographers on the side of the field and attached to monopods?
My D5100 + the 55-300mm can put me in trouble?
Do they know the (obvious) difference?

How about my D5100 + Tamron 18-270mm?

On the last TV game I watched yesterday I looked for people with DSLRs and could find some in the crowd. Wasn't in the Yankees Stadium though.

I have never been to any sport event like this in US so I have no idea if it is common to people to take their DSLRs and zoom lenses into stadiums in US.
Is it common?

Thanks for any help.