Protestants believe that when Christ died and rose again, and the veil in the temple was rent, access to - i.e. mediation - with God shifted from earthly Levitical priests to Christ himself - the great High Priest. Since we now can go directly to God, we believe that all believers are priests - a “royal priesthood”. See Hebrews 4:14-16; 1 Peter 2; Rev 1:5-6. This doesn’t mean that we don’t need pastors - the NT is full of references to pastors and the need therefor. Protestants just believe that the section of earthly priests’ job description as mediators with God has been superseded by Christ.
Generally speaking, Protestants are taught that scripture interprets scripture. So we hold the aforementioned scriptures (many of which arguably were written by Peter himself) in tension with Matthew 16:16-20 (sort of - it’s a bit more involved and some Protestant is going to probably jump in and say we interpret it totally differently, but we all think different things because we don’t have the RCC like you guys, which believe me, some days I would kill for, but I digress). So, for example, most mainline Protestant denominations will, in their liturgy, follow a general corporate confession with an assurance of pardon given by - you guessed it - a pastor (priest).
I think it would be a bit odd for a Protestant to use the passage in Ezekiel to support the doctrine of the priesthood of believers.